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Problem 3.11: Computing the QR Factorization in MATLAB3.11. Most library routines for computing the QR factorization of an m x n matrix A return the matrix R in the upper triangle of the storage for A and the Householder vectors in the lower triangle of A, with an extra vector to accommodate the overlap on the diagonal. Write a routine that takes this output array and auxiliary vector and forms the orthogonal matrix Q explicitly by multiplying the corresponding sequence of Householder transforma