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Let A = [cos θ -sin θ] x= [x1] y= [y1] [sin θ cosθ] [x2] [y2] Explain geometrically Ax=y if A = [cosθ 0 -sinθ] [0 1 0] [sinθ 0 cosθ]? (Note: These are matrices mentioned above.)
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This matrix is a rotation. When is a vector y equal to x having being rotated by an angle of theta?
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