Question: (a) If ||A|| is an operator norm, prove that ||I|| = 1, where I i s an identity matrix. (b) Is there a vector norm

(a) If ||A|| is an operator norm, prove that ||I|| = 1, where I i s an identity matrix.
(b) Is there a vector norm that induces the Frobenius norm as an operator norm? Why or why not?

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