Question

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

[ -1 2]

Answer 1

<38, 13>

Step-by-step explanation:

-9 (-4) + 2(1) = 36 + 2 = 38

-9(-1) + 2(2) = 9 + 4 = 13

The resulting matrix (vector) is

<38, 13>

Answer 2

The resulting vector is < 38 13 >.

Step-by-step 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 >.