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Hello tutor. I need help for these problems 1 2 3 4. Use the Gram-Schmidt process to turn a = 1 ,b = 0 and

Hello tutor. I need help for these problems

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1 2 3 4. Use the Gram-Schmidt process to turn a = 1 ,b = 0 and c = 3 into an 0 2 3 orthonormal set. Factorize A as QR, where Q is a matrix with orthonormal columns and R is an upper triangular matrix. 1 0 5. Let A = 2 1 . Suppose P1 is the projection matrix onto the 1-dimensional subspace 0 1 spanned by the rst column of A. Suppose P2 is the projection matrix onto the 2- dimensional column space of A. (a) Compute P1 and P2. 1 (b) Project the vector b = 2 onto the line and the plane above. 3

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