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# 1. Beispiel: eindeutig lösbares System
# Matrix definieren
A = matrix([[1,2],[1,-1]])
show(A)
(121−1)\displaystyle \left(\begin{array}{rr} 1 & 2 \\ 1 & -1 \end{array}\right)
# rechte Seite des Systems
b = vector([1,-2])
show(b)
(1, −2)\displaystyle \left(1,\,-2\right)
# Loesung des LGS
x=A.solve_right(b)
show(x)
(−1, 1)\displaystyle \left(-1,\,1\right)
var('x')
y1=1/2-1/2*x
y2=x+2

p3=point((-1,1),size=60, color='green')
p1=plot(y1, (x, -2, 2), gridlines=True,  axes_labels=['$x$','$y$'], fontsize=14, color='blue')
p2=plot(y2, (x, -2, 2), gridlines=True,  axes_labels=['$x$','$y$'], fontsize=14, color='red')

show(p3+p1+p2) #Die Lösung ist der grüne Punkt...
x