SOLVED:A QR factorization of A is given. Use it to find a least squares solution of A 𝐱=𝐛. A=[ 2 1 2 0 1 1 ], Q=[ (2)/(3) (1)/(3) (2)/(3) -(2)/(3) (1)/(3) (2)/(3) ], R=[ 3 1 0 1 ], 𝐛=[ 2 3 -1 ]

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