Answer
Column 2-vectors:
$\begin{bmatrix}
1 \\
3 \end{bmatrix}$ and $\begin{bmatrix}
-1 \\
5 \end{bmatrix}$
Row 2-vectors:
$\begin{bmatrix}
1 & -1 \end{bmatrix}$ and $\begin{bmatrix}
3 & 5 \end{bmatrix}$
Work Step by Step
Column vectors
With $j=1$
$\begin{bmatrix}
a_{11} \\
a_{21} \end{bmatrix}=\begin{bmatrix}
1 \\
3 \end{bmatrix}$
With $j=2$
$\begin{bmatrix}
a_{12} \\
a_{22} \end{bmatrix}=\begin{bmatrix}
-1 \\
5 \end{bmatrix}$
Row vectors
With $i=1$
$\begin{bmatrix}
a_{11} & a_{12} \end{bmatrix}=\begin{bmatrix}
1 & -1 \end{bmatrix}$
With $i=2$
$\begin{bmatrix}
a_{21} & a_{22} \end{bmatrix}=\begin{bmatrix}
3 & 5 \end{bmatrix}$