Question: Statement: For an m n matrix A, prove using the definition provided above that the spectral norm is given by ||A|| = max x6 =0

Statement: For an m n matrix A, prove using the definition provided above that the spectral norm is given by ||A|| = max x6 =0 ||Ax|| ||x|| Conclude that for any n 1 vector x, ||Ax|| ||A|| ||x|| Using the conclusion above prove that for conformable matrices A and B (AB is well defined) ||AB|| ||A|| ||B|

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