QUESTION 1: 11 2 4 Find the inverse of A = 3 8 14] using LU Decomposition Method. 12 6 13) --
Write Matlab script for computing inverse of a matrix using LU decomposition/factorization. You are not allowed to use the Matlab’s lu function.
solve this for i1 2 3 4 using decomposition methods LU Decomposition using Method 1 (based on Gauss Elimination) 3. LU Decomposition using Method 2 (Crout's Method) 2. 24 9X1-4X2-2x3 =-16 - 3x4 一4x1 + 17x2-6x3 2x16x2 +14x3-6x4 0 3x2-6x3 +14x4-18 LU Decomposition using Method 1 (based on Gauss Elimination) 3. LU Decomposition using Method 2 (Crout's Method) 2. 24 9X1-4X2-2x3 =-16 - 3x4 一4x1 + 17x2-6x3 2x16x2 +14x3-6x4 0 3x2-6x3 +14x4-18
Let 1 3 -5-3 -1 -58 4 4 2 -5-7 (a) Using Gaussian elimination, find an LU decomposition for A. You should explicitly list every row operation you perform, perform individual row operations. -3 (b) Let b- Use your LU decomposition to solve Ax b. Let 1 3 -5-3 -1 -58 4 4 2 -5-7 (a) Using Gaussian elimination, find an LU decomposition for A. You should explicitly list every row operation you perform, perform individual row operations. -3 (b)...
- 3. Find the LU-decomposition of the matrix 131 ol A= 6 3 1 3 1 -2)
(911 (1) (a) Recall that a square matrix A has an LU decomposition if we can write it as the product A = LU of a lower triangular matrix and an upper triangular matrix. Show that the matrix 0 1 21 A= 3 4 5 (6 7 9] does not have an LU decomposition 0 0 Uji U12 U13 O 1 2 Il 21 l22 0 0 U22 U23 = 3 4 5 (131 132 133 0 0 U33 6...
1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
4. Find a QR-factorization of the matrix 5. Find an LU-decomposition of the matrix A =
(c) Find the LU decomposition of the following matrix with nave pivoting -3 2 3 1 (7) show all your work (3) d) Explam why an iterative method is preferred to a dırect method if the coefficient matnx is sparse [23] (c) Find the LU decomposition of the following matrix with nave pivoting -3 2 3 1 (7) show all your work (3) d) Explam why an iterative method is preferred to a dırect method if the coefficient matnx is...
QUESTION 2 Find the LU decomposition of A. Show all your steps to get full credit. W 1113 A= 3 5 7 12 66