(adsbygoogle = window.adsbygoogle || []).push({}); In each case find a rotation or reflection which equals the given transformation

Rotation through pi followed by reflection in the X axis

Now is there a way to actually work this out?

The text says the answer is simply reflection on the Y axis.

I tried to visualize by drawing a vector, rotating it pi and then reflecting it on the X axis but it doesnt seem to make sense...

A rotation thru pi would yield a matrix like this

[tex] \left(\begin{array}{cc} -1&0 \\ 0&-1 \end{array}\right) [/tex]

How would one incorporate the reflection on the X Axis.

For that matter, how would one incorporate a Y axis reflection or a line y = mx reflection onto a matrix?

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