Unitary Check 2x2

Problem

Return True if the complex 2x2 matrix A is unitary: A^H * A must equal the identity within 1e-9.

Entries are [real, imaginary] pairs; A^H is the conjugate transpose.

Hint

Unitary matrices preserve the complex inner product; their columns form an orthonormal basis.

case 1

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

expected: true

case 2

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

expected: true

case 3

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

expected: false

case 4

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

expected: false

Starter codePython

def is_unitary_2x2(A):
    # Your code here
    pass

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