Apply Inverse Affine Transform

Problem

Given a 2D affine transform defined by matrix A (2x2) and translation t, apply its inverse to point p:

p' = inv(A) * (p - t)

Return None if det(A) == 0.

Hint

Translate first, then undo the linear part with the 2x2 inverse.

case 1

in: [[[1,0],[0,1]],[1,1],[3,4]]

expected: [2,3]

case 2

in: [[[2,0],[0,3]],[0,0],[4,9]]

expected: [2,3]

case 3

in: [[[1,1],[0,1]],[1,2],[2,3]]

expected: [0,1]

case 4

in: [[[1,1],[2,2]],[0,0],[1,1]]

expected: null

Starter codePython

def apply_affine_inverse(A, t, p):
    # Your code here
    pass

4 test cases · run your code against them in the editor