Answer: Orthogonal Diagonalization In Exercises 4352, find a matrix P such that PTAP

Chapter 7, Problem 50

(choose chapter or problem)

In Exercises 43–52, find a matrix P such that \(P^{T} A P\) orthogonally diagonalizes A. Verify that \(P^{T} A P\) gives the correct diagonal form.

\(A=\left[\begin{array}{rrr}

-2 & 2 & 4 \\

2 & -2 & 4 \\

4 & 4 & 4

\end{array}\right]\)

Text Transcription:

P^T AP

A=[-2  2  4

2  -2  4

4  4  4]

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