Exercise 14

For any matrix $A$, the transpose of $A$, written ${{A}^{\mathsf{T}}}$, is the matrix whose columns are the rows of $A$. Find the transpose of each of these.

• (a)  $\begin{pmatrix}1&2&3\\ 4&5&6\end{pmatrix}$     (b)  $\begin{pmatrix}2&-3\\ 1&1\end{pmatrix}$     (c)  $\begin{pmatrix}5&10\\ 10&5\end{pmatrix}$     (d)  $\begin{pmatrix}1\\ 1\\ 0\end{pmatrix}$