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Results tagged with linear-algebra
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user 133871
Questions about the properties of vector spaces and linear transformations, including linear systems in general.
4
votes
3
answers
325
views
Question about an inequality described by matrices
Let $A=(a_{ij})_{1 \le i, j \le n}$ be a matrix such that $\sum_\limits{i=1}^{n} a_{ij}=1$ for every $j$, and $\sum_\limits{j=1}^n a_{ij} = 1$ for every $i$, and $a_{ij} \ge 0$. Let
$$\begin{equation} …
- 1,168
13
votes
0
answers
785
views
Seek for a algebro-geometric proof: the group homomorphism $\mathrm{SL}(2,\mathbb{Z}) \right...
It is a well-known fact that the group homomorphism $\mathrm{SL}(2,\mathbb{Z}) \rightarrow \mathrm{SL}(2,\mathbb{Z}/N\mathbb{Z})$ is surjective.
What I want is a proof by method of algebraic geometry. …
- 1,168