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

Chapter 7, Problem 52

(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}{llll}

1 & 1 & 0 & 0 \\

1 & 1 & 0 & 0 \\

0 & 0 & 1 & 1 \\

0 & 0 & 1 & 1

\end{array}\right]\)

Text Transcription:

P^T AP

A=[1  1  0  0

1  1  0  0

0  0  1  1

0  0  1  1]

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