- #1

Mdhiggenz

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## Homework Statement

Find the standard matrix representation for each of the following linear operators:

L is the linear operator that reflects each vector x in R

^{2}about the x

_{1}axis and then rotates it 90° in the counterclockwise direction.

## Homework Equations

## 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

L(e1)=(x1,-x2)

L(e1)=(1,0)

^{T}

Same goes for e2

e2=(0,1)

L(e2)=(y1,-y2)

L(e2)=(0,-1)

Here is where I get a bit confused. How do It ake in the 90° counter clockwise rotation into account?

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