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Results tagged with linear-algebra
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user 82724
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
2
votes
0
answers
130
views
Notions of singularity for symmetric bilinear maps
Given a symmetric, bilinear map $B : \mathbb{R}^n \times \mathbb{R}^n \to \mathbb{R}^m$, a common notion of nondegeneracy is the following:
$$
\mbox{If } B(x,y) = 0 \mbox{ for all } y, \mbox{then } x= …
- 193
1
vote
generalizations of Vandermonde matrix to high dimensions
A map $f: M \to \mathbb{R}^n$ is said to be $k$-regular if whenever $x_1, \dots, x_k$ are distinct points of $M$, then $f(x_1), \dots, f(x_k)$ are independent. There is an abundance of literature on …
- 193