a. Show that the rotation matrix applied to the vector x = (x1, x2)t has the geometric
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applied to the vector x = (x1, x2)t has the geometric effect of rotating x through the angle θ without changing its magnitude with respect to the l2 norm.
b. Show that the magnitude of x with respect to the lˆž norm can be changed by a rotation matrix.
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a b First note that for any vector x x1 x2 we have 122 Cos sin 0 In a similar m...View the full answer
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