Show matrix A is invertible if and only if $a_0 \neq 0$ with $A^n+a_{n-1}A^{n-1}+....+a_1A+a_0I=O$.
101313
Minimal polynomial, determinants and invertibility
36567
$A^{T}A$ positive definite then A is invertible?
10828
If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
97781
invertible matrices connected or not
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
33355
Proving that matrix in equation is invertible
22666
Proving that if $A^n = 0$, then $I - A$ is invertible and $(I - A)^{-1} = I + A + \cdots + A^{n-1}$
155272
Is a matrix with $1$s in the diagonal and off-diagonal entries with absolute value less than $1$ invertible?
70157
Is every matrix $A$ such that $A^k=I$ diagonalizable?
150387
Questions about matrix rank, trace, and invertibility
14161
Proof of when is $A=X^TX$ invertible?
109217
Invertibility of the Product of Two Matrices
50010
Is this how eigenvalues of some matrix $A$ are related to the inverse of $A$?
10042
How to Show that Linear transformation is invertible?
124734
If $A^3=O$ is the matrice $A^2-A+I$ invertible?
28861
Given an invertible matrix $A$ such that all elements in $A$ and in $𝐴^{−1}$ are integers, find $|𝐴^4|$
75215
Properties of invertible matrices