1. Show that if A ∈ C (m×n) and m ≥ n, then

1. Show that if A ∈ C

(m×n) and m ≥ n, then ∥|A|∥2 ≤

√n∥A∥2. The matrix B = |A|

denotes the absolute value of A, i.e. Bij = |Aij | for all i, j.

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