Show that such matrix cannot exist
111366
Does there exist a symmetric matrix $A$ such that $2^{\sqrt{n}}\le |\operatorname{Tr}(A^n)|\le2020 \ \cdot 2^{\sqrt{n}}$ for all $n$
88442
Prove that there's no ordered basis $E$ in which $T{x\choose y}={0\choose y}$ can be represented as $1\ 2\choose 2\ 4$
142307
Counting invertible $0$-$1$ matrices that remain invertible under negating the diagonal
142642
$A=\begin{pmatrix}0&0&1\\ 0&1&0\\ 1&0&0\end{pmatrix}$, $X^2=A$ has no solutions
26801
Show that orthogonal matrices are diagonalizable
145194
Matrix graph and irreducibility
84341
Can the determinant of a matrix can be made $0$?
14994
Showing a function $f$ cannot be surjective
80751
diagonalisability of matrix few properties
97781
invertible matrices connected or not
58021
Finding matrix $B$ is not zero matrix where $AB= 0$
142519
Uniqueness and Existence problem
31149
Prove that matrix can be square of matrix with real entries
132041
Numbers which cannot be formed
98377
How can I prove this limit doesn't exist?
78654
An example of a norm which can't be generated by an inner product
27248
If $A$ is an $m \times n$ matrix, prove that $Ax=0$ has infinite solutions $\iff$ $\text{rank}(A)<n$