v2 After the QR factorization of the matrix A you get A = QR, with 1 1 0 2 1 1 0 [i 2 01 2 2 Q= ,R= 0 1 2 -1 1 2 2 LO 0 2 1 0 2 2 0 a) Which columns of Awere orthogonal to begin with, if any? b) What is the orthogonal projection p of the vector b= onto C(A)? C) If you are minimizing || Ax b|| (i.e. solving the least-square problem) for -O you should be able to solve it quicker than through the whole procedure by getting an upper-triangular system of equations U = cfor the least-square solution . What would be the upper-triangular matrix U and the right-hand-side vector c? v2 After the QR factorization of the matrix A you get A = QR, with 1 1 0 2 1 1 0 [i 2 01 2 2 Q= ,R= 0 1 2 -1 1 2 2 LO 0 2 1 0 2 2 0 a) Which columns of Awere orthogonal to begin with, if any? b) What is the orthogonal projection p of the vector b= onto C(A)? C) If you are minimizing || Ax b|| (i.e. solving the least-square problem) for -O you should be able to solve it quicker than through the whole procedure by getting an upper-triangular system of equations U = cfor the least-square solution . What would be the upper-triangular matrix U and the right-hand-side vector c