nilpotent matrix proof:
34908
$A$ is normal and nilpotent, show $A=0$
28460
Show matrix is nilpotent
4509
Proof that an involutory matrix has eigenvalues 1,-1
144082
Every $n\times n$ matrix is the sum of a diagonalizable matrix and a nilpotent matrix.
36613
Prove that simultaneously diagonalizable matrices commute
120065
Niven’s theorem proof.
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
116823
VERIFYING: Proving an $n \times n$ Matrix Vector Space
123044
Commutative matrices are multiples of the identity
130268
How to prove that a nilpotent matrix is not invertible?
55272
Prove that all nxn nilpotent matrices of order n are similar.
131972
All nilpotent $2 \times 2$ matrices satisfy $A^{2}=0$
15417
Tricky problem on skew-symmetric matrices
124942
Prove that an upper triangular matrix is invertible if and only if every diagonal entry is non-zero.
7712
How to prove the both identity (matrix)
103500
Nilpotent Jacobson radical
75215
Properties of invertible matrices