CoCalc Shared Files2017-09-08-125453.sagewsOpen in CoCalc with one click!
Authors: Matevz Rojc, William A. Stein
Views : 8
Description: Rating system matrix
T = matrix([[9.0,-1.0,-1.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,120.0],[-1.0,9.0,0.0,-2.0,-1.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,71.0],[-1.0,0.0,9.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,163.0],[0.0,-2.0,-1.0,9.0,-1.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,24.0],[-1.0,-1.0,0.0,-1.0,7.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,74.0],[0.0,0.0,-1.0,0.0,0.0,7.0,-1.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0],[0.0,-1.0,0.0,0.0,0.0,-1.0,7.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,21.0],[-1.0,0.0,0.0,-1.0,0.0,0.0,0.0,7.0,-1.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,29.0],[0.0,0.0,0.0,0.0,0.0,-1.0,-1.0,-1.0,6.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,54.0],[0.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,6.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,38.0],[-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,-1.0,0.0,0.0,6.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,5.0],[-1.0,0.0,0.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,-1.0,6.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,25.0],[0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,6.0,0.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,-21.0],[0.0,-1.0,-1.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,6.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-9.0],[-1.0,0.0,0.0,0.0,0.0,-1.0,-1.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,6.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,-49.0],[0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,6.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,43.0],[0.0,0.0,0.0,0.0,0.0,-1.0,-1.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,5.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,-4.0],[-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,0.0,0.0,-1.0,-3.0],[0.0,-1.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,5.0,0.0,0.0,-1.0,0.0,0.0,-57.0],[0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,0.0,5.0,0.0,0.0,-1.0,0.0,-85.0],[0.0,0.0,0.0,0.0,0.0,-1.0,-1.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,-1.0,0.0,0.0,0.0,5.0,0.0,0.0,0.0,-71.0],[0.0,-1.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,5.0,0.0,0.0,-58.0],[0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,-1.0,0.0,0.0,0.0,-1.0,0.0,0.0,5.0,0.0,-98.0],[-1.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,-1.0,-1.0,0.0,0.0,0.0,0.0,0.0,-1.0,0.0,0.0,0.0,0.0,0.0,5.0,-126.0]]);print T.rref().str()
[ 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 7.74619135907724e16]
print T.rref().str()
[ 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -3.46944695195361e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 -1.38777878078145e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 0.000000000000000 7.74619135907725e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -5.55111512312578e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -6.93889390390723e-18 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.22044604925031e-16 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 0.000000000000000 7.74619135907724e16] [ 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 -2.77555756156289e-17 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 0.000000000000000 1.00000000000000 7.74619135907724e16]
Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "sage/matrix/matrix0.pyx", line 5334, in sage.matrix.matrix0.Matrix.__pow__ (/ext/sage/sage-8.0/src/build/cythonized/sage/matrix/matrix0.c:37435) raise ArithmeticError("self must be a square matrix") ArithmeticError: self must be a square matrix
T^10 T^50
Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1013, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "sage/matrix/matrix0.pyx", line 5334, in sage.matrix.matrix0.Matrix.__pow__ (/ext/sage/sage-8.0/src/build/cythonized/sage/matrix/matrix0.c:37435) raise ArithmeticError("self must be a square matrix") ArithmeticError: self must be a square matrix
T^100
[ 0.500000000000000 0.500000000000000 0.000000000000000] [ 0.500000000000000 0.500000000000000 0.000000000000000] [ 0.500000000000000 0.500000000000000 7.88860905221012e-31]