Inverse of a function of a nilpotent matrix: $(I-A)^{-1}=A^2+A+I$ if $A^3=0$
7034
Prove that $A+I$ is invertible if $A$ is nilpotent
77554
Inverse of the sum of matrices
75480
Matrix Identity $(I-G_1G_2)^{-1}G_1=G_1(I-G_2G_1)^{-1}$?
22004
Inverse of $y = x^3 + x $?
55018
Prove that $A^*A + I$ is invertible
119452
Nilpotent matrices with same minimal polynomial and nullity
20611
Inverse of a factorial
5475
Derivative of the inverse of a matrix
155451
Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$
152326
What is the inverse of the function $x \mapsto \frac{ax}{\sqrt{a^2 - |x|^2}}$?
124095
$A$ is a real orthogonal matrix, prove that $ (I+A)^{-1}(I-A)$ is skew-symmetric
58491
Proving the inverse of a matrix as a polynomial of matrices
101452
How is the determinant related to the inverse of matrix?
17584
Integer matrices with integer inverses
34908
$A$ is normal and nilpotent, show $A=0$
145768
The inverse of a matrix in which the sum of each row is $1$
130268
How to prove that a nilpotent matrix is not invertible?