The induced matrix norm for a square matrix ##A## is defined as:(adsbygoogle = window.adsbygoogle || []).push({});

##\lVert A \rVert= sup\frac{\lVert Ax \rVert}{\lVert x \rVert}##

where ##\lVert x \rVert## is a vector norm.

sup = supremum

My question is: is the numerator ##\lVert Ax \rVert## a vector norm?

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# Question about induced matrix norm

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