If A is matrix of k*k
102529
Prove that the set $\left\{ x, Ax, \dots, A^{k-1} x \right\}$ is linearly independent
55230
Dimension of set of commutable matrices
130498
Linear algebra proof regarding matrices
36639
Prove by induction that $\sum_{r=0}^{n}\begin{pmatrix}n \\ r \end{pmatrix}=2^k$
42500
Let $A$ and $B$ be matrices over $\mathbb C$. Then pick out the correct statements.
121062
Given a matrix, is there always another matrix which commutes with it?
13026
Prove that if AB=I_m, then rk(A)=rk(B).
1770
Matrix $M_1 = M(f', \mathcal{B}, \mathcal{B '})$ of $f$
1906
Multiplying by a $1\times 1$ matrix?
30877
How to show that the set of orthogonal n x n matrices forms a group under multiplication
75104
Existence of some type matrix
57543
Show that a matrix is nilpotent.
7843
Show that order of $a^k$
5616
How can I prove the IFF condition for this group of matrices?
113628
Where M is a matrix calculate a formula for M^n
145980
For every matrix $A\in M_{2}( \mathbb{C}) $ there's  $X\in M_{2}( \mathbb{C})$ such that $X^2=A$?
64747
If $A^m=I$ then A is Diagonalizable