Exercise 1

For each matrix, state the dimension of the domain and codomain of any map that the matrix represents.

• (a)  $\begin{pmatrix}2&1\\ 3&4\end{pmatrix}$     (b)  $\begin{pmatrix}1&1&-3\\ 2&5&0\end{pmatrix}$     (c)  $\begin{pmatrix}1&3\\ 1&4\\ 1&-1\end{pmatrix}$     (d)  $\begin{pmatrix}0&0&0\\ 0&0&0\end{pmatrix}$     (e)  $\begin{pmatrix}1&-1&4&5\\ 0&0&0&0\end{pmatrix}$