(1 point) Find the QR factorization of M = [ -3 -5 il -6 -7 -7 | L-6 -4 2]
(1 point) Find the QR factorization of 4 -14 6 -14 12 -21 M = ME
(1 point) Find the QR factorization of 2 3 5 2 6 -10 0 M = 1 M=
10. Find a QR factorization of A 1 A = 4 4 4 -2 2 0
(4) Q4a) Find the QR factorization of the matrix 13 3 -1 1 7 -4 2 1 -1 b) Test using the spectral method or suitable matrix norms, the guaranteed convergence of Gauss Jacobi method for the following system (2) 1x + 4z = 8 4y + 2z = 9 4.0 + 2y - 2z = 10
2 3 3. Let A = 2 4 and b = 3 . Find QR factorization of A. (1 1
#15 6.4.25 Question Help - 10 -4 5 8 - 10 3 6 0 2 2 8 5 12 - 6 - 12 30 , is 3 -3 4 o . Find the QR factorization of A An orthogonal basis for A, -6 6 16 16 28 28 16 0 0 8 5 4 2 3 0 -4 2 with the given orthogonal basis. The QR factorization of Ais A = QR, where Q= and R =
4. Find a QR-factorization of the matrix 5. Find an LU-decomposition of the matrix A =
2 9 11 and b (1 point) Let A -6 The QR factorization of the matrix A is given by: 2 1 6 17 äv2 3 1 1 0 3 2 3 21 V2 3 áva (a) Applying the QR factorization to solving the least squares problem Ax b gives the system: X = 0 2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. x=
3 What is the QR factorization of the matrix 2 8 13 A-4 77? 4 -2 -13 You can use MAILAB to check your answer, but you must provide the details of all intermediate steps on paper.