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1answer
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why is frobenius norm of a matrix greater than or equal to the 2 norm?
How can you prove that:
$$\|A\|_2 \le \|A\|_F$$
I cannot use:
$$\|A\|_2^2 = \lambda_{max}(A^TA)$$
It makes sense that the 2-norm would be less than or equal to the frobenius norm but I dont know how ...
1
vote
2answers
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prove matrix norm equivalence
Given $A \in R^{m\times n}$, I need to prove:
$$||A||_2 \le \sqrt {m}||A||_\infty$$
I have tried a number of things and I just cant seem to get it to work.
Also, I need to prove:
$$||A||_2 \le ...
