Question

If a = [3 5], b = [7 3],then find a non zero marix c such that ac = bc.

Answer 1

Answer:

The matrix

$\displaystyle c=\left[\begin{array}{c}1\\2\end{array}\right]$

is an example, for then

$\displaystyle ac = \left[\begin{array}{cc}3&5\end{array}\right]\left[\begin{array}{c}1\\2\end{array}\right]= 3 + 10 = 13\\\\\text{and}\\\\bc = \left[\begin{array}{cc}7&3\end{array}\right]\left[\begin{array}{c}1\\2\end{array}\right]= 7 + 6 = 13$