Question: Problem 3 (variation on Shores 6.1.17) Suppose || . || is a norm on the complex vector space C with the usual vector addition and

Problem 3 (variation on Shores 6.1.17) Suppose || . || is a norm on the complex vector space C" with the usual vector addition and scalar multiplication. For a fixed n xn nonsingular matrix A, define the function || . |IA by |/x)|A = ||Axl|. Prove that || . |IA is also a norm on the vector space C"

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