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Question: evaluate symbolically the inverse of the 2 x 2 matrix...

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Evaluate symbolically the inverse of the 2 x 2 matrix cos θ -sin θ sin θ cos θ | , A- where θ is an angle. Let K1, yi, K2, and y2 be unit vectors satisfying where cos θ -sin θ sin θ cos θ|. A- Assume that the vectors x1 and yi are perpendicular. Draw the vectors x2 and y2 defined by (1) and give a geometric representation of the transformation represented by matrix AWith the same assumptions as in Problems 6 and 7, consider an arbitrary vector i.e., (ai, b) are the components of v when v is expressed in terms of the vectors ( $1), and (a2, b2) are the components of v when v is expressed in terms of the vectors (R2,y2). Show that (1) and (2) imply that these components satisfy cos θ -sin θ sin θ] [al cos θ | |bl b2

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