Solved: Orthogonal Diagonalization In Exercises 4352, find

Chapter 7, Problem 49

(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}

1 & -1 & 2 \\

-1 & 1 & 2 \\

2 & 2 & 2

\end{array}\right]\)

Text Transcription:

P^T AP

A=[1  -1  2

-1  1  2

2  2  2]

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