Verify that $(I−XY)^{(-1)}*X=X*(I−YX)^{(-1)}$
130498
Linear algebra proof regarding matrices
146339
Proof of -(-v)=v in a vector space
36697
Proving that $\int_{-b}^{-a}f(-x)dx=\int_{a}^{b}f(x)dx$
37723
Proof that $-(-x) = x$ using just the field axioms
55018
Prove that $A^*A + I$ is invertible
141286
When is $\mathbf{X}^{T}\mathbf{X}+\lambda\mathbf{I}$ invertible?
50655
Proof of $f^{-1}(B_{1}\setminus B_{2}) = f^{-1}(B_{1})\setminus f^{-1}(B_{2})$
81671
Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$
85626
prove $\sum_{i=1}^{n}(x_i-\bar{x})^2\lt\sum_{i=1}^{n}(x_i-a)^2$
17542
Why is $\sqrt{-x}*\sqrt{-x}=-x?$
154327
$A^2X = X$ show that $AX = X$, if $A_{ij} > 0$ and $x_{i} > 0$
70304
Prove there are $\xi$, $\eta$ with $f'(\xi)f'(\eta)=1$
5347
Using the definition of a vector space to prove that $0x = 0$ and $(-1)x = -x$
109674
If $(I-T)^{-1}$ exists, can it always be written in a series representation?
22666
Proving that if $A^n = 0$, then $I - A$ is invertible and $(I - A)^{-1} = I + A + \cdots + A^{n-1}$
134075
Inverse of $A^{-1}+B^{-1}$
124095
$A$ is a real orthogonal matrix, prove that $ (I+A)^{-1}(I-A)$ is skew-symmetric