New posts in Inverse

Prove that if an inverse function exists, then it is unique.

Prove that $A+I_n$ is invertible, where $\left\lVert A\right\rVert<1$

When is the derivative of an inverse function equal to the reciprocal of the derivative?

If $\operatorname{rank} (AB) = \operatorname{rank} (BA)$ for any $B$, then is $A$ invertible?

Is there a matrix of every size with all its submatrices invertible?

Why is $x^{-1} = \frac{1}{x}$?

$I_m - AB$ invertible if and only if $I_n - BA$ invertible

When A and B are of different order given the $\det(AB)$,then calculate $\det(BA)$

Finding the inverse of $f(x) = x^3 + x$

Example of a continuous function with a discontinuous inverse