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Results tagged with linear-algebra
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user 32507
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
1
vote
Accepted
Is this notion of being "fully" convex closed under set addition?
Have a look at the example from https://mathoverflow.net/a/37683/32507. This gives two convex, closed sets which cannot be separated by linear functionals (even not by discontinuous ones). If I unders …
- 1,724
5
votes
Accepted
If $A^TA \ge B^TB$ does this imply $AA^T \ge BB^T$?
Take
$$A = \begin{pmatrix}0 & 0 \\ 1 & 0\end{pmatrix}, \quad B = \begin{pmatrix}1 & 0 \\ 0& 0 \end{pmatrix}.$$
- 1,724
2
votes
0
answers
751
views
Reference: Continuity of Eigenvectors [closed]
I am looking for an appropriate reference for the following fact. I already posted on math.stackexchange, but got no answer.
For each $X \in \mathbb{R}^{n \times n}_{\text{sym}}$ (symmetric matrix …
- 1,724