Area Scale Factor 2x2

Problem

Return the area scale factor of the 2x2 linear map given by A, which is the absolute determinant:

|det(A)| = |a*d - b*c|

This is the factor by which the map scales areas.

Hint

A singular map collapses areas to zero, so the factor is 0.

case 1

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

expected: 6

case 2

in: [[[1,1],[1,1]]]

expected: 0

case 3

in: [[[0,-1],[1,0]]]

expected: 1

case 4

in: [[[2,4],[1,3]]]

expected: 2

case 5

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

expected: 6

Starter codePython

def area_scale_factor(A):
    # Your code here
    pass

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