If $AB = I$. Prove that $BA = I.$(use only linear combination/matrix multiplication)
3301
If $AB = I$ then $BA = I$
20878
If $(a,b)=1$ then prove $(a+b, ab)=1$.
84626
Why in these matrices are $AB=BA$ not equal? What is the logic behind them?
7712
How to prove the both identity (matrix)
85167
When A and B are of different order given the $\det(AB)$,then calculate $\det(BA)$
76680
Prove that if $\gcd(a,c)=1$ and $\gcd(b,c)=1$ then $\gcd(ab,c)=1$
73155
Prove that for any square matrix, an invertible matrix B exists, so that BA is triangular
157784
Prove that if $\gcd(ab,c)=1$, then $\gcd(a,c)=1$.
44897
Proof: If $n=ab$ then $2^a-1 \mid 2^n-1$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
130281
Proving $a^ab^b + a^bb^a \le 1$, given $a + b = 1$
3330
Square matrices, ABA = A?
50266
In the following figure prove that: $AK||BC$
6091
Similarity of products $AB$ and $BA$ of square matrices
158695
Prove that if $AB$ is invertible then $B$ is invertible.
133482
$AB-BA$ is a nilpotent matrix if it commutes with $A$
113474
An $n \times n$ matrix $M$ of integers has the property that $M_{ab} = M_{xy}$ iff $a+b=x+y$. How many distinct elements are there in $M$?