1 0 0 0 −1 -2 -3 1 e matrix A has two distinct eigenvalues 1 < 2. Find the eigenvalues 0 2 3 -1 0 2 2 0 d a basis for each eigenspace. = = whose eigenspace has a basis of whose eigenspace has a basis of

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
Question
1
0
0
0
-1
-2
-3
1
The matrix A
has two distinct eigenvalues X1 < λ2. Find the eigenvalues
0
2
3
-1
0
2
2
and a basis for each eigenspace.
×₁ =
whose eigenspace has a basis of
λ2 =
whose eigenspace has a basis of
Transcribed Image Text:1 0 0 0 -1 -2 -3 1 The matrix A has two distinct eigenvalues X1 < λ2. Find the eigenvalues 0 2 3 -1 0 2 2 and a basis for each eigenspace. ×₁ = whose eigenspace has a basis of λ2 = whose eigenspace has a basis of
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