Determinant of Transpose

Problem

Compute the determinant of the transpose of a 3x3 matrix A by expanding along the first row of A^T.

The result equals det(A), but the work is done on the transposed rows.

Hint

Transpose first, then apply the standard 3x3 cofactor expansion.

case 1

in: [[[1,2,3],[4,5,6],[7,8,9]]]

expected: 0

case 2

in: [[[1,2,3],[0,1,4],[5,6,0]]]

expected: 1

case 3

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

expected: 24

case 4

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

expected: 2

Starter codePython

def det_transpose(A):
    # Your code here
    pass

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