Find the standard matrix representation for each of the following linear operators:
L is the linear operator that reflects each vector x in R2 about the x1 axis and then rotates it 90° in the counterclockwise direction.
The Attempt at a Solution
So my thinking is they wat a L.O that reflects any vector about the x1 axis. So for instance if we input a vector e1=(1,0) into our linear operator
Same goes for e2
Here is where I get a bit confused. How do It ake in the 90° counter clockwise rotation into account?
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