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Question #24602

Rate QR factorization with the LU and PLU factorizations. Which would you prefer when solving large systems of linear equations, and why?

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**1.**Create a one page “cheat sheet” in flow-chart form which explains the Gram-Schmi**2.**Suppose u have the value of error sum of square is 9.1,so what would u comments on this value ? data**3.**1. (2 Points) Explain clearly why the solution to the homogeneous system Ax = 0 with a nonsingular c**4.**1. (2 Points) Explain clearly why the solution to the homogeneous system Ax = 0 with a nonsingular c**5.**Show that, for any vector z in C^J, the member of H_i closest to z is x having the entries:**6.**Show that the ith column of A^(conjugate transpose) is normal to the hyperplane Hi; that is, it is o**7.**Let A be an N by N matrix with rank J<N. Prove then, that there are N-J linearly dependent so

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