Problem 4: Let each of the following matrices represent an active transformation of vectors in the (x,y) plane (axes fixed, vectors rotated or reflected). Similar to Example 3 (pg. 128) in Chapter 3.7 of the textbook, show that each matrix is orthogonal, find its determinant, and find the rotation angle, or find the line of reflection. 1 1 (-) / (√³-√3) 1 (b) 1/12 (1 -1

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