Question: Let A be a nonsingular square matrix. Prove the following formulas for its condition number: (a) (b) K(A) max{ || Au|| | || u ||

Let A be a nonsingular square matrix. Prove the following formulas for its condition number:


(a)


K(A) max{ || Au|| | || u || = 1} min{ ||


(b)


Au|| | ||u|| = 1)

K(A) max{ || Au|| | || u || = 1} min{ || Au|| | ||u|| = 1)

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