HW13.3. Find a low-rank approximation Compute the optimal rank-2 approximation of the symmetric matrix -0.25 -1.75 0.75 2.25 [1 1 1 -0.25 2.25 0.75 -1.75 -1 1 given that the columns of 1 1 A = -1.75 0.75 2.25 -0.25 1-1 1 1 0.75 -1.75 -0.25 2.25 [i -1 -1 are eigenvectors of A. A2 =

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 65CR: Determine all nn symmetric matrices that have 0 as their only eigenvalue.
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HW13.3. Find a low-rank approximation
Compute the optimal rank-2 approximation of the symmetric matrix
2.25
-0.25 -1.75
0.75
Г1 1
-1]
-0.25
2.25
0.75
1
given that the columns of
1
-1.75
1
-1
1
A =
-1.75
0.75
2.25
-0.25
-1
1.
1
0.75
-1.75 -0.25
2.25
[1
are eigenvectors of A.
A2 =
Transcribed Image Text:HW13.3. Find a low-rank approximation Compute the optimal rank-2 approximation of the symmetric matrix 2.25 -0.25 -1.75 0.75 Г1 1 -1] -0.25 2.25 0.75 1 given that the columns of 1 -1.75 1 -1 1 A = -1.75 0.75 2.25 -0.25 -1 1. 1 0.75 -1.75 -0.25 2.25 [1 are eigenvectors of A. A2 =
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