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## Homework Statement

A vector

**x**in R^2 is rotate twice through an angle theta (it is rotated through theta and again through theta). Find two expressions for the matrix representing this rotation. Verify that these two expressions are equivalent

## Homework Equations

rotation matrix R=[cos, -sin; sin, cos]

## The Attempt at a Solution

I can only think of one expression:

(R)(R)(

**x**).

Could (R^2)(

**x**) be the other one? How would i prove that this is equivalent?

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