proof that $(I+AB)^{-1}A = A(I+BA)^{-1}$
7712
How to prove the both identity (matrix)
9986
Prove $ \sin(A+B)\sin(A-B)=\sin^2A-\sin^2B $
145125
How to prove that $A^{-1} + B^{-1}$ is invertible given the conditions
15164
Proof of $\sum^{2N}_{n=1} \frac{(-1)^{n-1}}{n} = \sum^{N}_{n=1} \frac{1}{N+n}$
118471
Prove that $1-\sum_{i=1}^n a_i < \prod_{i=1}^n(1-a_i) $
107494
prove $\frac {ab}{a+b} \geq \sum ^n_{i=1} \frac{a_ib_i}{a_i+b_i}$
84422
$AB=BA$, $AC=CA$ we need to show $BC=CB$
17032
If $ab=ba$, Prove $a^2$ commutes with $b^2$
111515
Proving that $-a=(-1)\cdot a$
65923
How to approach proving $f^{-1}(B\setminus C)=A\setminus f^{-1}(C)$?
148744
Prove that $(\frac{bc+ac+ab}{a+b+c})^{a+b+c} \ge \sqrt{(bc)^a(ac)^b(ab)^c}$
123555
Proving that if $ab=e$ then $ba=e$
3301
If $AB = I$ then $BA = I$
121767
Why $\det(A^{-1}) = 1/\det(A)$?
32487
Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
72092
If $A^2 = I$, $B^2=I$ and $(AB)^2=I$, then $AB = BA$
14189
If $(I-A)(I+A)^{-1}$ is orthogonal then prove that A is skew symmetric.