Section 5.6 QR Factorization: Problem 6 Previous Problem Problem List Next Problem 2 9 (1 point)...
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=
== 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. =
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
Please step by step solution!!! Cholesky factorization versus QR factorization. In this problem we compare the accuracy of the two methods for solving a least-squares problem minimize Ar - b We take b10- 1-10-k ke A10 0 10k for k 6, k- 7 and k 8. (a) Write the normal equations, and solve them analytically (i.e., on paper, without using MATLAB). (b) Solve the least-squares problem in MATLAB, for k = 6. K-7 and k = 8, using the recommended...
06.Matrix Factorization: Problem 12 Previous Problem Problem List (1 point) Find the LU factorization of and use it to solve the system 7 25 [13] A = LU =
06.Matrix Factorization: Problem 3 Previous Problem Problem List Next Problem (1 point) Find the LDU factorization of -16 A 20 79 That is, write A matrix with ones on the diagonal. LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular A Note: You can earn partial credit on this problem.
06.Matrix Factorization: Problem 11 Previous Problem Problem List Next Problem (1 point) Find the LU factorization of -E 2 2 A 4 That is, write A LU where L is a lower trianqular matrix with ones on the diagonal, and U is an upper triangular matrix A Note: You can eam partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times
HW18 Section 5.6: Problem 9 Previous Problem Problem List Next Problem (4 points) Find the limits (that is, end behaviors) below. Enter INFINITY and -INFINITY for oo and -oo, respectively. (a) As x help (limits) 4x(x2 + 7) + , 5 + 5x3 –7x(x – 7)(x – 6) +-0, -5 – 7x4 (b) As x help (limits)
Problem 6 (18 pts.): Let A be a 4 x 2 matrix given by: -1 -5 1 1 1 A= -1 -1 1 5 a) Compute the Gram-Schmidt QR factorization of A. b) Use the QR factorization to find the least squares solution of Az = 6, where 6= (-2,-1,5,0).
Hw07: Problem 12 Previous Problem Problem List Next Problem (1 point) Consider the linear system 3 21 Find the eigenvalues and eigenvectors for the coefficient matrix. , VI , V2