- #1
Richie Smash
- 293
- 15
Homework Statement
Hi good morning to all.
The problem at hand states, that the points A (3,0) and B (5,0) are reflected in the mirror line y=x.
Determine the images A' and B' of these points.
I've done that using the reflection in the line y=x which i know to be
\begin{bmatrix}
0 &1 \\
1 & 0
\end{bmatrix}
I got A'(0,3) and B'(0,5). The question then says, A' and B' are rotated 90° counterclockwise about the origin.
Find the images A'' and B'' of A' and B'.
I've also done this using the fact that a 90 degree anti-clockwise rotation looks like this (x,y) = (-y,x)
SO now I'm at this point, where they ask, determine the single matrix which represents the reflection followed by the rotation above.
I'm unsure of how to approach this.