New posts in Linear Transformations

Intuition behind Isomorphic spaces "Being the Same"

Find the rank of $T^2$

$\begin{pmatrix} a & b \\ 0 & c \end{pmatrix}$ has an inverse $\implies a,c$ have inverses?

Is this matrix surjective? Textbook dispute

When does one show a function is well defined?

Invertible matrix($T:M_{2*2}(R) \rightarrow M_{2*2}(R)$ defined by T( $\bigl( \begin{smallmatrix} a & b \\ c & d \end{smallmatrix} \bigr)$

One to one correspondence between all $F[x]$-module $V$ and all linear transformations $T\colon V\to V$, $V$ being a vector space over $F$.

Matrix right multiplication orbit invariant

Do coordinate components transform in the same or opposite way as their bases?

Similar matrices in $\mathbb{Z}/n\mathbb{Z}$