- #1
stunner5000pt
- 1,461
- 2
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 doesn't 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?
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 doesn't 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?