x$A^{100 }$ where $A = \begin{bmatrix} 1 &2 \\ 3& 4 \end{bmatrix}$
66499
Finding a 2x2 Matrix raised to the power of 1000
136329
A matrix is similar to its transpose
62614
How to get matrix $A$ from $A^\top A=B$ with given symmetric matrix $b$?
88841
annihilator linear algebra
95103
A rational matrix such that $A^{2017}=I_n$
118314
How to define $x^a$ for arbitrary real numbers $x$ and $a$
22410
Find a symmetric matrix $B$ such that for every $3\times 1$ matrix $\text{x}$
132879
Matlab questions about $a_{n+1} = 4a_{n} + n +1$
57296
A non-diagonal $4\times4$ matrix such that $A^3=A^2=0$ and its rank is $2$
146243
Does there exist a matrix $\mathbf{A}\in\mathbb{R}^{3\times3}$ such that $\mathbf{A}^{2}=-\mathbf{I}$?
156956
Give the remainder of $x^{100}$ divided by $(x-2)(x-1)$.
140517
Sum of the entries in the matrix $A^3$
129583
Find 3x3 real matrix A such that $A^2 \neq I$ and $A^4 = I$, where I is identity matrix.
156032
Find a such that $112_a$, $63_a$ and $34_a$ are in an arithmetic progression
123877
Best approximation of a vector $x=\begin{bmatrix}2&2&0&0\end{bmatrix}^\tau$ by the vectors in $M^\perp$, where $b\in M$ is given
11857
$A$ be a complex $3\times 3$ matrix such that $A^3=-I$
37252
How can I show that $\begin{pmatrix} 1 & 1 \\ 0 & 1\end{pmatrix}^n = \begin{pmatrix} 1 & n \\ 0 & 1\end{pmatrix}$?