If $A$ is a matrix, then express it in the form $A^{-1} = A^2 + pA + qI$
24441
Inverse of a matrix is expressible as a polynomial?
105746
If $(A-2I)^3(A+2I)^2=0$, then what are the possible Jordan canonical forms of $A$?
146847
Given a square matrix A of order n, prove $\operatorname{rank}(A^n) = \operatorname{rank}(A^{n+1})$
142640
Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
46546
Express $-1+i$ in exponential form.
38436
If an orthogonal matrix has determinant -1 then it has -1 as an eigenvalue
77554
Inverse of the sum of matrices
153506
Proving the inverse of a matrix equals $I_n-\frac{1}{n-1}A$
54118
Proving Eigenvalue squared is Eigenvalue of $A^2$
32103
Show that for a $2\times 2$ matrix $A^2=0$
43913
Prove that if $A^*+A=AA^*$ then $A$ is normal
149219
If $A$ is a non-square matrix with orthonormal columns, what is $A^+$?
39256
Finding $\det(I+A^{100})$ where $A\in M_3(R)$ and eigenvalues of $A$ are $\{-1,0,1\}$
108592
Given a matrix $A$ with a known Jordan decomposition, what is the Jordan decomposition of $A^2+A+I$?
28861
Given an invertible matrix $A$ such that all elements in $A$ and in $𝐴^{−1}$ are integers, find $|𝐴^4|$
110086
Let $A$ be an $m \times n$ matrix. Show $A^TA$ and $AA^T$ have the same eigenvalues