Solved: Orthogonal Diagonalization In Exercises 4352, find

Chapter 7, Problem 47

(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}

0 & 10 & 10 \\

10 & 5 & 0 \\

10 & 0 & -5

\end{array}\right]\)

Text Transcription:

P^T AP

A=[0  10  10

10  5  0

10  0  -5]