Let A be an m à n matrix and let Ï1 be the largest singular value of

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Let A be an m × n matrix and let σ1 be the largest singular value of A. If x and y are nonzero vectors in Rn, show that each of the following holds:
(a)
Let A be an m × n matrix and let

(b)

Let A be an m × n matrix and let
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