Question

The vector matrix[ 27 ]is dilated by a factor of 1.5 and then reflected across the X axis if the resulting matrix is a B then a equals an VE

Answer 1

a = 3

b = -10.5

Explanation:

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Answer 2

Correct question:

The vector matrix [
`\left[\begin{array}{ccc}2\\7\end{array}\right]` is dilated by a factor of 1.5 and then reflected across the x axis. If the resulting matrix is [a/b] then a=??? and b=???

Answer:

a = 3

b = 10.5

Explanation:

Given:

Vector matrix =
`\left[\begin{array}{ccc}2\\7\end{array}\right]`

Dilation factor = 1.5

Since the vector matrix is dilated by 1.5, we have:

`\left[\begin{array}{ccc}1.5 * 2\\1.5 * 7\end{array}\right]`

=
`\left[\begin{array}{ccc}3\\10.5\end{array}\right]`

Here, we are told the vector is reflected on the x axis.

Therefore,

a = 3

b = 10.5