def test_matrix_cofactor_3x3():
A = Matrix([[3, 5, 0], [2, -1, -7], [6, -1, 5]])
assert A.minor(0, 0) == -12
assert A.cofactor(0, 0) == -12
assert A.minor(1, 0) == 25
assert A.cofactor(1, 0) == -25
def test_matrix_determinant_3x3():
A = Matrix([[1, 2, 6], [-5, 8, -4], [2, 6, 4]])
assert A.cofactor(0, 0) == 56
assert A.cofactor(0, 1) == 12
assert A.cofactor(0, 2) == -46
assert A.determinant == -196
def test_matrix_determinant_4x4():
A = Matrix([[-2, -8, 3, 5], [-3, 1, 7, 3], [1, 2, -9, 6], [-6, 7, 7, -9]])
assert A.cofactor(0, 0) == 690
assert A.cofactor(0, 1) == 447
assert A.cofactor(0, 2) == 210
assert A.cofactor(0, 3) == 51
assert A.determinant == -4071
def test_matrix_inverse_4x4():
A = Matrix([[-5, 2, 6, -8], [1, -5, 1, 8], [7, 7, -6, -7], [1, -3, 7, 4]])
B = A.inv
assert A.determinant == 532
assert A.cofactor(2, 3) == -160
assert B[3, 2] == -160 / 532
assert A.cofactor(3, 2) == 105
assert B[2, 3] == 105 / 532
assert B == Matrix([[0.21805, 0.45113, 0.24060, -0.04511],
[-0.80827, -1.45677, -0.44361, 0.52068],
[-0.07895, -0.22368, -0.05263, 0.19737],
[-0.52256, -0.81391, -0.30075, 0.30639]])
