Orthogonal Matrix Check

Problem

Return True if the square matrix A is orthogonal, meaning its columns form an orthonormal set:

sum_k A[k][i] * A[k][j] = 1 if i == j else 0.

Use a tolerance of 1e-9 when comparing.

Hint

An orthogonal matrix satisfies A^T A = I.

case 1

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

expected: true

case 2

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

expected: true

case 3

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

expected: false

case 4

in: [[[0.6,0.8],[-0.8,0.6]]]

expected: true

Starter codePython

def is_orthogonal_matrix(A):
    # Your code here
    pass

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