Diagonalization Check

Problem

Check whether A = P*D*inv(P) holds for 2x2 matrices A, P, and D, comparing entries within a tolerance of 1e-9.

Return False if P is singular.

Hint

The columns of P must be eigenvectors matched to the diagonal entries of D.

case 1

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

expected: true

case 2

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

expected: true

case 3

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

expected: false

case 4

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

expected: false

Starter codePython

def diagonalization_check(A, P, D):
    # Your code here
    pass

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