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(a) If Matrix A and B are orthogonal, determine whether the following are orthogonal or...

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Algebra

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(a) If Matrix A and B are orthogonal, determine whether the following are orthogonal or not. Give full justifications for your answer.(i) A^T, (ii) B-, (iii) B- AB.(b) Consider the transformation f: R R given byf(x,y) = (x+2y,x-y,-2x+3y).Show that f is a linear transformation. Find a matrix form of this transformation.

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