2. The matrix A has eigenvalues -2,-2, and 1. Find 3 linearly independent eigenvec- tors for A. Show enough work to show you know how to do this problem by hand. 3 3

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
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Chapter4: Eigenvalues And Eigenvectors
Section4.5: Iterative Methods For Computing Eigenvalues
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Please help with questions 2 and 3.

2. The matrix A has eigenvalues -2,-2, and 1. Find 3 linearly independent eigenvec-
tors for A. Show enough work to show you know how to do this problem by hand.
3
A=
-3-5-3
3 3
3
1
3. Diagonalize the matrix in part la. Again, show enough work to show you know
how to do this problem by hand.
Transcribed Image Text:2. The matrix A has eigenvalues -2,-2, and 1. Find 3 linearly independent eigenvec- tors for A. Show enough work to show you know how to do this problem by hand. 3 A= -3-5-3 3 3 3 1 3. Diagonalize the matrix in part la. Again, show enough work to show you know how to do this problem by hand.
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