Proving nilpotency of a matrix
13346
If $A=AB-BA$, is $A$ nilpotent?
39746
How to prove that given set is a connected subset of the space of matrices?
33477
Proving that if $A$ is a $8\times 8$ matrix over $\mathbb{R}$ and $A^3=A$, then $A$ is diagonalizable.
30882
Proving Invertibility and Eigenvalues
125299
If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.
127127
Prove condition number of a invertible matrix is atleast one
90964
Prove: symmetric positive definite matrix
37162
Prove that matrices have equal rank.
78298
On the nilpotence of the matrix $AB-BA$
158426
Proving lemma about centrality of idempotent elements in a Ring with no nilpotent elements.
133758
Traces of powers of a matrix $A$ over an algebra are zero implies $A$ nilpotent.
21758
Rank of the $n \times n$ matrix with ones on the main diagonal and $a$ off the main diagonal
28460
Show matrix is nilpotent
1973
Traces of all positive powers of a matrix are zero implies it is nilpotent
7034
Prove that $A+I$ is invertible if $A$ is nilpotent
58491
Proving the inverse of a matrix as a polynomial of matrices
2798
A and B are nxn matrices, $A =B^TB$. Prove that if rank(B)=n, A is pos def, and if rank(B)<b, A is pos semi-def.