QR Factorization: It can be shown that any invertible n n matrix has a factorization of

Chapter 2, Problem 31

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QR Factorization: It can be shown that any invertible n n matrix has a factorization of the form A = Q R, where Q and R are invertible, R is upper triangular, and Q satisfies QT Q = In (i.e., Q is orthogonal). Determine an algorithm for solving the linear system Ax = b using this QR factorization.

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