Show that if B is singular, then 1 K(A)

Chapter 7, Problem 7.4.9

(choose chapter or problem)

Show that if B is singular, then 1 K(A) ||A B|| ||A|| . [Hint: There exists a vector with ||x|| = 1, such that Bx = 0. Derive the estimate using ||Ax|| ||x||/||A1||.]

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