Ononot — A real symmetric 3 \times 3 matrix A has eigenvalues 1, 2, 3

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Eigenvalues & Eigenvectorshard

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A real symmetric $3 \times 3$ matrix $A$ has eigenvalues $1, 2, 3$ and can be written as $A = QDQ^T$ where $Q$ is orthogonal and $D = \text{diag}(1, 2, 3)$ . Which properties of $Q$ are guaranteed?