Question

V=<-9,2> is transformed using the transformation matrix A= [ -4 1] What is the resulting vector?

Answer 1

Answer:

The resulting vector is < 38 13 >.

Explanation:

The resulting vector is obtained by using the following formula:

$\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}-4&1\\-1&2\end{array}\right] \left[\begin{array}{ccc}-9\\2\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}38\\13\end{array}\right]$

The resulting vector is < 38 13 >.