Schultz Mitchell
09/27/2023 · High School
2. The values of \( K \) which make the matrix \( A=K\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ -2 & 2 & -1\end{array}\right] \) orthogonal matrix are \( \begin{array}{llll}\text { (a) } \pm 3 & \text { (b) } \pm \frac{1}{27} & \text { (c) } \pm \frac{1}{9} & \text { (d) } \pm \frac{1}{3}\end{array} \)
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The values of \( K \) that make the matrix orthogonal are \( \pm \frac{1}{3} \).
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