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## Homework Statement

Given the matrix A=

-1/2 root(3)/2

root(3)/2 1/2

determine if the matrix is a rotation about the origin or a reflection about the positive x axis

and find the angle between the that the line makes with the x-axis

## Homework Equations

## The Attempt at a Solution

I found the det(A)=-1 can I concluded that the matrix reflects vectors?

and also how do you find the angle?

I tried doing projection onto the axis. but didnt get me anywhere

please help..