Why is the special linear group generated by elementary matrices that add a multiple of row $j$ to row $i$?
34886
Transvection matrices generate $ \operatorname{SL}_n(\mathbb{R}) $
66842
Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid
70606
Show that the LU decomposition of matrices of the form $\left[\begin{smallmatrix}0& x\\0 & y\end{smallmatrix}\right]$ is not unique
122698
Construction of multiplicative group of complex numbers
18361
Does the unit generate the additive group in a unital ring with cyclic additive group?
134162
What is a basis for the space of $n\times n$ Hermitian matrices?
108742
Proving commutativity of addition for vector spaces
56312
Why can this product of rectangular matrices not be the identity matrix?
65158
Oddity: Determinant of Skew-Symmetric $n\times n$ Matrices
34700
Proving that the matrix exponential map is surjective onto the general linear group
88221
Find the center of the group $\operatorname{GL}(n,\mathbb R)$ of invertible $n \times n$ matrices.
154241
What is the easiest way to generate $\mathrm{GL}(n,\mathbb Z)$?
77128
Necessary and Sufficient conditions for $(i \, j)$ and $(1 \, 2 \, \dotsc \, n)$ generate $S_n$.
38817
Why is the ring of matrices over a field simple?
43020
If $I+J=R$, where $R$ is a commutative rng, prove that $IJ=I\cap J$.
116936
Commutator subgroup and subgroup generated by square.
68608
Why do row equivalent matrices have the same row space?