Question

The vector matrix [2/7] is dilated by a favor of 1.5 and then reflected across the x axis. If the resulting matrix is [a/b] then a= ____ and b=___

Answer 1

a = 3

b = -10.5

Explanation:

Answer 2

a = 3 and b = -10.5

Explanation:

We have the vector
`\begin{bmatrix}2\\7\end{bmatrix}`

First, this vector is dilated by a factor of 1.5

So, the new vector is,

`1.5* \begin{bmatrix}2\\7\end{bmatrix}`

i.e.
`\begin{bmatrix}1.5* 2\\1.5* 7\end{bmatrix}`

i.e.
`\begin{bmatrix}3\\10.5\end{bmatrix}`

Further, this vector is reflected across the x-axis.

So, the resulting vector is
`\begin{bmatrix}3\\-10.5\end{bmatrix}`

Thus, the value of 'a' and 'b' are 3 and -10.5 respectively.