Mathematics Matrices

The matrix A, defined by \(\rm A= \left(\begin{matrix} 1&0 &0\\\ 0&a&b\\\ 0&-b&a \end{matrix}\right)\) is orthogonal if

1
a = 1, b = -1
2
a = 1/√2, b = -1/√2
3
a = 1/√2, b = -i/√2
4
a = 1, b = 1

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