Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:A singular value decomposition of a matrix A is as follows:
-0.5 0.5
-0.57 [10
07
-0.5 0.5
0.5
0
510.6
0.8
0.5 0.5
0 0.8 -0.6
0.5 0.5 -0.5
A =
0.5
-0.5
0
5/10
(a) Find the closest (with respect to the Frobenius norm) matrix of rank 1 to A.
A1 =
0.5
-0.5
0.5
(a) Find the Frobenius norm of A - A1.
||A - A1|| F =
(c) Find the rank of A
rank(A) =
=
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