Homepage › Solution manuals › Gilbert Strang › Linear Algebra and Learning from Data › Exercise 2.4.6
AB = ∑ ajbjT, also for any matrices A,B, we have |A + B|≤|A| + |B|, so we have
|AB|F2 = |∑ ajbjT|F2 ≤ (∑ |ajbjT|)2 ≤ (∑ |aj||bjT|)2