1 Singular values

math.berkeley.edu

Step 1. We rst need to nd the eigenvalues of ATA. We compute that ATA= 0 @ 80 100 40 100 170 140 40 140 200 1 A: We know that at least one of the eigenvalues is 0, because this matrix can have rank at most 2. In fact, we can compute that the eigenvalues are p 1 = 360, 2 = 90, and 3 = 0. Thus the singular values of Aare ˙ 1 = 360 = 6 p 10, ˙ 2 ...

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