(1 point) Find the QR factorization of 2 3 5 2 6 -10 0 M = 1 M=
(1 point) Find the QR factorization of 4 -14 6 -14 12 -21 M = ME
7. Find the QR factorization of 3 6 -37 A = 14 8 6 0 4 5
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=
Section 5.6 QR Factorization: Problem 6 Previous Problem Problem List Next Problem 2 9 (1 point) Let A = 1 1 and b = 6 The QR factorization of the matrix A is given by: 2 6 1 3 1 1 -ŠV2 V2 *V2 ܝܙܚܐܝ 0 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system: 3 X= 0 3 (b) Use backsubstitution to solve the system in part (a) and find the...
(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 1 3 (1 point) Let A 1 and b -3 2 6 The QR factorization of the matrix A is given by: 1 2 = ſ v2 ŠV2 0 V2 3 2 3 (a) Applying the QR factorization to solving the least squares problem Ax b gives the system: 3 wls, wie X = (b) Use backsubstitution to system in part (a) and find the least squares solution. =
2 3 3. Let A = 2 4 and b = 3 . Find QR factorization of A. (1 1
4. Find a QR-factorization of the matrix 5. Find an LU-decomposition of the matrix A =
T67 [21] (1 point) Let A = 1 1 and b = [21] -6 .The QR factorization of the matrix A is given by: 1-3] [21] [ 11 = [2 1 112] 2 -V2 ماده و V2 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system: (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. 5/3 -3