Let A be an n n matrix with singular value vector = (1,... , 1).
Question:
(a) ||σ||∞ = ||A||2;
(b) ||σ||2 = ||A||F, the Frobenius norm of Exercise 10.3.16.
Remark: ||σ||2 (also defines a useful matrix norm, known as the Ky Fan norm.
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