Question: 1. Show that for any m by k matrix A and k by n matrix B, |AB||||A||FB||F, where ||||F is the Frobenius norm (See

1. Show that for any m by k matrix A and k by n matrix B, |AB||||A||FB||F, where ||||F is the Frobenius norm (See Tut1 Q2). This is Tut1 Q2: 2. Let A = (a) be an m by n matrix, define the Frobenius norm of A by m n ||Allr = i=1 j=1 Show that for any column vector u = (u,,un) ER", ||Au|| ||A|F||u||. (Hint: Use Cauchy-Schwarz inequality.)

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