Problem 11 0 3 3 0 §7.3, Exercise 1. Let A = (a) Find the eigenvalues and eigenvectors of A. (b) Find an invertible matrix S such that S-lAS is a diagonal matrix D. What is D?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Part B only please

**Problem 11**

**§7.3, Exercise 1.** Let \( A = \begin{pmatrix} 0 & 3 \\ 3 & 0 \end{pmatrix} \).

(a) Find the eigenvalues and eigenvectors of \( A \).

(b) Find an invertible matrix \( S \) such that \( S^{-1}AS \) is a diagonal matrix \( D \). What is \( D \)?
Transcribed Image Text:**Problem 11** **§7.3, Exercise 1.** Let \( A = \begin{pmatrix} 0 & 3 \\ 3 & 0 \end{pmatrix} \). (a) Find the eigenvalues and eigenvectors of \( A \). (b) Find an invertible matrix \( S \) such that \( S^{-1}AS \) is a diagonal matrix \( D \). What is \( D \)?
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