1 Under what conditions on $a$, $b$, $c$, $d$ is $\begin{bmatrix} c \\ d \end{bmatrix}$ a multiple $m$ of $\begin{bmatrix} a \\ b \end{bmatrix}$? Start with the two equations $c = ma$ and $d = mb$. By eliminating $m$, find one equation connecting $a$, $b$, $c$, $d$. You can assume no zeros in these numbers.