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Results tagged with linear-algebra
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user 146993
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
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Is the matrix induced L1-norm greater than the induced L2-norm?
For $A \in \mathbb R^{m \times n}$ and the induced norms:
$$
\| A \|_1 = \max_{x \ne 0} \frac{\|Ax\|_1}{\|x\|_1}
$$
$$
\| A \|_2 = \max_{x \ne 0} \frac{\|Ax\|_2}{\|x\|_2}
$$
... where:
$$
\|x\|_1 = \s …
- 2,370