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...
(1 point) Find the LU factorization of That is, write A = LU where L is a lower triangular matrix with ones on the diagonal, and U is an upper triangular matrix.
(1 point) Find the LU factorization of -g 3 -3 A = 4 LU where L is a lower triangular matrix with ones on the diagonal, and U is an upper triangular matrix. That is, write A 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
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.
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
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 =
(3 points) Find the LDU factorization of 「-3-15 15 A=1 12 64-68 -9 -37 26 That is, write A = LDU where L is a lower triangular matrix with ones on the diagonal, D is a diagonal matrix, and U is an upper triangular matrix with ones on the diagonal.
3 (The UL factorization.) Show how to compute the factorization A = UL where U is upper triangular with ls along the diagonal and L is lower triangular. Show how this relates to a way of solving Ax = b by transforming the system into an equivalent system with a lower triangular matrix. (In other words, show that what we did for the LU factorization also works for a UL factorization.) Note: For the purposes of this exercise you may...
suppose we have a) find a factorization of A into the product MU where U is upper triangular (that is, find M and U such that A = MU where U is upper triangular). b) find a permutation matrix P such that PA = LU where L is a lower triangular matrix and U is the same upper triangular matrix found in part a). 0301 3-14 1124 0012
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