The spectral norm is $1$-Lipschitz for the Frobenius norm: $\big|\|A\|-\|B\|\big|\le\|A-B\|_F$

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The spectral norm is $1$-Lipschitz for the Frobenius norm: $\big|\|A\|-\|B\|\big|\le\|A-B\|_F$ · Prove2Me