Answer: In 2130, the given matrix A is symmetric. Find an orthogonal matrix P that

Chapter 8, Problem 24

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In Problems 21-30, the given matrix A is symmetric. Find an orthogonal matrix P that diagonalizes A and the diagonal matrix D such that \(\mathbf{D}=\mathbf{P}^{T} \mathbf{A} \mathbf{P}\).

\(\left(\begin{array}{rr} 1 & 2 \\ -2 & 1 \end{array}\right) \)

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