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5. Suppose you are given a matrix A with linearly independent columns of the dimension of m x n and hence we can write A

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5. Suppose you are given a matrix A with linearly independent columns of the dimension of m x n and hence we can write A = BC (B is an Orthogonal matrix and C is an upper triangular matrix). Let, Ay be the projection of b onto the vector space V meaning the norm of the difference of Ax and Ay is minimum. Show that Ay BBTb. [C02] [10 Marks]

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