Question: The matrix Re cos (0) - sin(0) = sin(0) cos(0) is called a rotation matrix because given any vector p = E R2, the product

The matrix Re cos (0) - sin(0) = sin(0) cos(0) is called a rotation matrix because given any vector p = E R2, the product Rep is the rotation of p by 0 radians (counter clockwise). (a) Plot the point p = (1, 0) in the plane along with RT/2P, (RT/2)2p, and (RT/2)3p. (b) Compute (Re) in terms of trigonometric functions of 0. (c) Write the matrix for R20. Is it equal to your answer in (c)? (d) What is (RA)-1

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