Question: 3.9 Let A be a k l matrix whose (i, j ) element is aij, 1 i k, 1 j

3.9 Let A be a k × l matrix whose (i, j ) element is aij, 1 ≤ i ≤ k, 1 ≤ j ≤ l.

Show that max i,j

|aij| ≤ A ≤

√

kl max i,j

|aij |.

Use this result to prove (i) and (ii) of Lemma 3.15.

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