[All Steps] Find a, b, and c for which the matrix
Question: Find \(a\), \(b\), and \(c\) for which the matrix
\[\left(\begin{array}{ccc} a & 1 / \sqrt{2} & -1 / \sqrt{2} \\ b & 1 / \sqrt{6} & 1 / \sqrt{6} \\ b & 1 / \sqrt{3} & 1 / \sqrt{3} \end{array}\right)\]is orthogonal. Are the values of \(a\), \(b\), and \(c\) unique? item
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