Suppose that matric $AB+A+B=0$, how to prove that $AB=BA$?
87441
Proof involving matrix equation
70827
Prove that $\sum_{i = n - b}^{a - m} {a - i \choose m}{b + i \choose n} = {a + b + 1 \choose m + n + 1}$
128760
If $A$ and $B$ two $n\times n$ matrix such that $AB=BA$, then $\dim(A\cap B)$?
104124
Prove or disprove: $A-(B-C) = (A-B)-C$
64108
how to prove $a+b-ab \le 1$ if $a,b \in [0,1]$?
66709
Are the matrix products $AB$ and $BA$ similar?
12927
$A^2+B^2=AB$ and $BA-AB$ is non-singular
3301
If $AB = I$ then $BA = I$
24856
Proving sup(A + B) = sup A + sup B
120292
How to formally prove: if $d\mid da+b$, then $d\mid b$?
55062
$2\times 2$ matrix $C=AB-BA$
72507
Does $ab=1$ imply $ba=1$ in a ring?
50266
In the following figure prove that: $AK||BC$
114250
If $V_0$ is the subspace of matrices of the form $C=AB-BA$ for some $A,B$ in a vector space $V$ then $V_0=\{A\in V|\operatorname{Trace} (A)=0\}$
63535
Prove that if $A – C = B – C$ and $A\cap C = B\cap C$ then $A = B$
9574
How to show that $\det(AB) =\det(A) \det(B)$?
89175
Proof of $(a+b)^{n+1}$