Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with matrix-theory
Search options answers only
not deleted
user 14094
Matrix theory is the study of matrices as concrete objects, rather than as abstract linear operators between vector spaces (whose study belongs to linear algebra). For instance, this involves matrix factorizations and decompositions, nonnegative matrices and Perron-Frobenius theory, Schur complements, structured and special matrices, matrix functions and equations.
17
votes
Are unitarily equivalent permutation matrices permutation similar?
Here's a direct proof that if permutation matrices $A,B$ (of size $n\ge 0$) have the same characteristic polynomial (or equivalently are linearly equivalent, since these are diagonalizable) then they …
- 63.9k
6
votes
Regarding minimal elementary generators for $GL(n, \mathbb{Z})$
The optimal number is $n$. Write $d_i$ the diagonal matrix with $-1$ at position $ii$ and $1$ at other diagonal places. For $i\neq j$, write $P_{ij}$ the transposition matrix $i\leftrightarrow j$, and …
- 63.9k
2
votes
generalization of result on K_1 of $SL(n,R)$
Over any PID $R$, using the classification of submodules of f.g. free modules, you can get that orbits of the left-right action of $\mathrm{GL}_n(R)\times \mathrm{GL}_n(R)$ on $\mathrm{M}_n(R)$ have r …
- 63.9k
2
votes
Accepted
How many non-isomorphic associative algebras of dimension 2 over the field F_{p^k} are there?
The answer is: 8 isomorphism classes. The classification up to absolute isomorphism yields: 7.
To show this in a greater and more natural generality, let in general $K$ be a field. I claim that there …
- 63.9k