Question: Problem 1. (12 pts.) Prove Statement 4 of Proposition 4.3.3: Suppose that A E CM is invertible and H - 2 : C H R

Problem 1. (12 pts.) Prove Statement 4 of Proposition 4.3.3: Suppose that A E CM\" is invertible and H - \"2 : C\" H R is the induced matrix 2110rn1. Denote Hp[A} : \"A\"p - \"fl1H?\" for p E [1, +00]! where H - \"ID is the induced matrix norm with respect to the vector 110ml |[ - \"900\") . Prove that 1 A B = inf |l \"2 H.2(A) detB):[} HA \"2

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