Define real matrix $A_{n \times p}$ and $x_{p \times 1}$. $\| \cdot \|_F$ denote the frobenius norm.
$$\|Ax\|_F \leq v \|x\|_F$$
Can we find a $v$ such that the above inequality holds?
Define real matrix $A_{n \times p}$ and $x_{p \times 1}$. $\| \cdot \|_F$ denote the frobenius norm.
$$\|Ax\|_F \leq v \|x\|_F$$
Can we find a $v$ such that the above inequality holds?
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