A matrix $A$ is given with a known Jordan decomposition, what is the Jordan decomposition of $A^2+A+I$?
108592
Given a matrix $A$ with a known Jordan decomposition, what is the Jordan decomposition of $A^2+A+I$?
41540
How to determine the Jordan form and give a Jordan base for a matrix?
75480
Matrix Identity $(I-G_1G_2)^{-1}G_1=G_1(I-G_2G_1)^{-1}$?
24809
For all square matrices $A$ and $B$ of the same size, it is true that $(A+B)^2 = A^2 + 2AB + B^2$?
139201
Finding Jordan basis of a matrix $(4\times 4)$
141173
Are there matrices such that $AB=I$ and $BA \neq I$
156438
Find a matrix equation equivalent to $A^TPA+P=I$
109312
How is the matrix identity $\det\begin{pmatrix}A&B\\B&A\end{pmatrix}=\det(A+B)\det(A-B)$ proved?
130799
Matrix of rank 1; show that $A^2=cA$ for some scalar $c$.
124734
If $A^3=O$ is the matrice $A^2-A+I$ invertible?
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
94037
Solving the matrix equation $AP=PB$, where $A$ and $B$ are similar
62030
$A^2=A^*A$. Why is matrix $A$ Hermitian?
126711
What is the square matrix $A$ equal to if $A=A^2$
32487
Proving $\det \left( \begin{smallmatrix} A & -B \\ B & A \end{smallmatrix} \right) =|\det(A+iB)|^2$
69641
Determinant identity: $\det M \det N = \det M_{ii} \det M_{jj} - \det M_{ij}\det M_{ji}$
128990
Prove that, at least one of the matrices $A+B$ and $A-B$ has to be singular