M203 Spring 2026: Eigenvectors
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Printed Name:
1. Find the eigenvalues and associated eigenvectors of the following matrix:
1 3
2 0
2. Find the eigenvalues and associated eigenvectors of the following general 2 × 2 symmetric matrix:
a b
b a
3. Compute the product
 
1
n  
1 2 3
 
2 1 1
3
where n is an arbitrary natural number with n ≥ 1.