2.5.3 Solve the equation Ax - b by using the LU factorization given for A 4...
Solve the equation Ax = b by using the LU factorization given for A. 0 0 2 - 4 - 2 12 -4 -2 0 10 A=1 - 4 2. 2 0-2 b = 3 3 -4 -3 0 0 3 6 -1 1 2 لیا Let Ly = b. Solve for y y = Let Ux = y. Solve for x. X=
Solve the equation Ax b by using the LU factorization given for A. Also solve Ax b by ordinary row reduction. 3 -5 1 0 0 3 5 4 4 A = 19 -3 1 3 -1 1 0 0 - 4 1 6 2 -6 2 3 1 0 1 58 - Let Ly b and Ux y. Solve for x and y. y X = Row reduce the augmented matrix [A b] and use it to find x...
2. Solve the linear system Ax = B, by, (20P) a) Finding LU-factorization of the coefficient matrix A, b) Solving the lower triangular system Ly = b, c) Solving the upper triangular system Ux = y. where w A = 2 0 0 0 -2 1 0 2 0 0 0 0 - 1 1 1 4. -4 15 and b =
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-
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. Algebra: Solve the system of equations given by Ax = b, using the LU factorisation given for A, where [ 2 -1 27 [1 00] [2 -1 2] A= -6 0 -2, b= 0 and A= -3 1 0 0 -3 4. [ 8 -1 5 4 [ 4 -1 1 0 0 1 2. Algebra: Find an LU decomposition of the matrices (i) [1 1 4 3 3 5 11 -1 3 (ii) 1-5 341 10 -8 -9....
1. a) Find the LU factorization of A. b) Use this factorization to determine the cost of bushel of each type of grain. (Hint: L(Ux) = b.) State your answer in the form "one bushel of high-grade grain costs $x", etc. c) What is the exact linear combination of the column of A that gives b? What geometric objects (lines in R2, planes in R3, 3-D spaces, etc.) are represented by each equation in the system, and in what ways...
Solve the system Ux = y for x. U = ? X = ? If the nxn matrix A can be expressed as A = LU, where L is a lower triangular matrix and U is an upper triangular matrix, then the system Ax = b can be expressed as LUX = b and can be solved in two steps: Step 1. Let Ux = y, so that LUX = b can be expressed as Ly = b. Solve this...
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
Please show all steps in completing this problem, thank you very much! Solve the system Ax=b using the LU factorization of A and the matrix b given below. -2 0 0 1 -1 -2 7 A=LU= -2 -1 0 0 1 3 -17 2 -1 -2 0 0 1 -5 b= 12 12 -10 You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters:...