Let f be the linear transformation represented by the matrix

Question

A=(-2 3
4 -4)

a=-2, b=3, c=4, d=-4

Find the point (x,y) such that f(x,y)=(4,4)

Answer 1

A*(x,y)^T = (4,4)^T

(x,y)^T = A^-1(4,4)^T