Suppose $A$ is an $n\times n$ real matrix and for $\mathbf{x} \in \mathbb{R}^n$ define $\|\mathbf{x}\|_A = \sqrt{\mathbf{x}^T A \mathbf{x}}$.
Under what conditions on the matrix $A$ is $\|\cdot \|_A$ a norm on $\mathbf{R}^n$?
2026-04-06 22:58:24.1775516304
Norm defined by matrix
245 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in NORMED-SPACES
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