Compute the optimal rank-2 approximation of the symmetric matrix 6.25 -0.25 3.25 1.75 -0.25 6.25 1.75 3.25 3.25 1.75 6.25 -0.25 3.25 -0.25 6.25 1.75 eigenvectors of A. A = given that the columns of 1 1 -1 -1 7-7 -1 1 1 1 -1 are

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Compute the optimal rank-2 approximation of the symmetric matrix
6.25 -0.25 3.25 1.75
6.25 1.75
3.25
1.75
6.25
-0.25
3.25 -0.25 6.25
-0.25
3.25
1.75
eigenvectors of A.
A =
A₂ =
given that the columns of
|.
1
1 1
1 -1
1
-1
1
1 1
-1 -1 -1
are
Transcribed Image Text:Compute the optimal rank-2 approximation of the symmetric matrix 6.25 -0.25 3.25 1.75 6.25 1.75 3.25 1.75 6.25 -0.25 3.25 -0.25 6.25 -0.25 3.25 1.75 eigenvectors of A. A = A₂ = given that the columns of |. 1 1 1 1 -1 1 -1 1 1 1 -1 -1 -1 are
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