On the invertibility of $3\times 3$ matrix $A$ with $A^3 −A^2 + 2A−3I = 0$
33355
Proving that matrix in equation is invertible
116136
Proof that the inverse of a square matrix is unique
73677
If the matrix $A^3 = 0$, is $A$ singular?
129583
Find 3x3 real matrix A such that $A^2 \neq I$ and $A^4 = I$, where I is identity matrix.
57296
A non-diagonal $4\times4$ matrix such that $A^3=A^2=0$ and its rank is $2$
78307
Under what conditions is $AA^T$ invertible?
131701
Why is $A^TA$ invertible if $A$ has independent columns?
17584
Integer matrices with integer inverses
123726
$2\times 2 $ matrices over $\mathbb{C}$ that satisfy $\mathrm A^3=\mathrm A$
6169
If $ A^3=A$ prove that $Ker\left(A-I\right)+Im\left(A-I\right)=V$
86919
When (and more importantly, why) does $AA^T$ have an inverse?
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
155272
Is a matrix with $1$s in the diagonal and off-diagonal entries with absolute value less than $1$ invertible?
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
80982
Solve $a^3+b^3+3ab=1$ with $(a,b)\in \Bbb{Z}^2$
6324
Deriving the inverse of a 2x2 matrix
106398
If $A$ is invertible show that $\det(A) \neq 0$