Solution: In 2130, the given matrix A is symmetric. Find an orthogonal matrix P that
Chapter 8, Problem 26(choose chapter or problem)
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 \(\mathbf{D}=\mathbf{P}^{T} \mathbf{A} \mathbf{P}\).
\(\left(\begin{array}{rrr} 1 & -2 & 2 \\ -2 & 1 & -2 \\ 2 & -2 & 1 \end{array}\right) \)
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