2018-02-09-octave-demo.ipynb

Kernel: Octave

This is a demo

Consider $a = x^3$.

a = rand(5)

a =

   0.267139   0.805561   0.069841   0.794689   0.110577
   0.948424   0.701436   0.023144   0.560013   0.315021
   0.768580   0.847153   0.036748   0.696519   0.831973
   0.900292   0.407907   0.824416   0.087610   0.939947
   0.202503   0.277016   0.222474   0.013010   0.746668

det(a)

ans =  0.041514

rref(a)

ans =

   1   0   0   0   0
   0   1   0   0   0
   0   0   1   0   0
   0   0   0   1   0
   0   0   0   0   1

v = [1 2 3 9 2 1]

v =

   1   2   3   9   2   1

v' * v

ans =

    1    2    3    9    2    1
    2    4    6   18    4    2
    3    6    9   27    6    3
    9   18   27   81   18    9
    2    4    6   18    4    2
    1    2    3    9    2    1

v * v'

ans =  100

pkg load symbolic; syms x
f = 2 * (cos(x) + sin(x)^2)
f1 = diff(f, x)

f = (sym)

       2              
  2⋅sin (x) + 2⋅cos(x)

f1 = (sym) 4⋅sin(x)⋅cos(x) - 2⋅sin(x)