Question: A singular value decomposition of a matrix AA is as follows: A= .5 .5 .5 .5 .5 .5 -.5 -.5 .5 -.5 -.5 .5 .5

A singular value decomposition of a matrix AA is as follows: A=

.5 .5 .5 .5
.5 .5 -.5 -.5
.5 -.5 -.5 .5
.5 -.5 .5 -.5
20 0
0 10
0 0
0 0
.8 .6
.6 -.8

1. Find the closest (with respect to the Frobenius norm) matrix of rank 1 to A.

2. Find the Frobenius norm of ||AA1||F=

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