5. Find an LU-factorization for the matrix 1 0 2. -I o3 U-6 6. 26721 11-2ら...
5. (a) (5 marks) Find the LU factorization of the matrix A = 1 1 14 -1 -1 -4 21 3 where L is a unit 7 lower triangular matrix and U is an echelon form of A. (b) (5 marks) Use the LU factorization found in part (a) to solve Ax =
1 point) Find the LU factorization of 4 -5 -20 23 That is, write A LU where L is a lower triangular matrix with ones on the diagonal, and U is an upper triangular matrix A= 1 point) Find the LU factorization of 4 -5 -20 23 That is, write A LU where L is a lower triangular matrix with ones on the diagonal, and U is an upper triangular matrix A=
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
2-4-1 (1 point) Find the LU factorization of A 6 14 0 2 10 -5 To solve the system 2 -4-1 6 14 0x 10 2 10 -5 using the LU factorization, you would first solve Ly and then solve Find the solution x-
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
In this exercise you will work with LU factorization of an matrix A. Theory: Any matrix A can be reduced to an echelon form by using only row replacement and row interchanging operations. Row interchanging is almost always necessary for a computer realization because it reduces the round off errors in calculations - this strategy in computer calculation is called partial pivoting, which refers to selecting for a pivot the largest by absolute value entry in a column. The MATLAB...
Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 4 0 1 8 1 1 L-4 1 0] LU = It
Find an LU factorization of the matrix A (with L unit lower triangular) [ -4 0 2 A= 12 2 - 1 12 10 27 L=0
4. Find a QR-factorization of the matrix 5. Find an LU-decomposition of the matrix A =
(4 points) 3 3 -2 Find the LU factorization of the 3 x 3 matrix A3 5 6 -12 20 22 and use it to solve the system 13 #2 | = 1-23 -88 T1 3 5 6 12 20 22 C3