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1 ąuestion 1 Solve the following linear equations for , 2 and rs using LU decomposition...
USING MATLAB/SCILAB: Given the following set of linear equations, solve using LU DECOMPOSITION x1 + 2x2 - x3 + x4 = 5 -x1 - 2x2 - 3x3 + 2x4 = 7 2x1 + x2 - x3 - 5x4 = -1 x1 + x2 + x3 + x4 = 10 Please show me pictures of the matlab/scilab compiler or copy-paste code and output
LU Decomposition Gauss Method EX4: Solve the same problem using the Gauss method. Example 4-6: MATLAB user-defined function for solving a system of equations using LU decomposition with Crout's method. ( Y Suggestions Use the code from the Crout's method. Discard the LUdecomp Crout module and leave the rest. Modify Gauss Pivot to store all the ratios Create the lower triangular matrix Confirm that L.U = A. Solve the problem by the LU double substitution Determine the currents ij, in,...
2. Solve the following linear systems of equations by writing the system as a matrix equation Ax = b and using the inverse of the matrix A. (You may use a calculator or computer software to find A-1. Or you can find A-1 by row-reduction.) 3x1 – 2x2 + 4x3 = 1 x1 + x2 – 2x3 = 3 2x1 + x2 + x3 = 8 321 – 2x2 + 4x3 = 10 X1 + x2 – 2x3 = 30...
Q.1 Using the method of Triangular Decomposition solve the set of equations. Xı - 2x2 + 3x3 - X4 = -3 3x1 + x2-3x3 +2x4 = 14 5xi +3x2+2x3 + 3x4 = 21 2x1 - 4x2 – 2x3 + 4x4 = -10 If Ax = 2x, determine the eigenvalues and corresponding eigenvectors of -3 0 6 4 10 - 8 A 4 5 3 B= 1 2 1 1 2 1 -1 2 3 Q.2
Write a latex solution for #2 please. 1. Use back substitution to solve each of the following systems of equations: (a) -3X2 = 2 2x2 = 6 (b) x1 +x2 +x3 = 8 2x2 + x3 = 5 3x3 = 9 (c) x1 + 2x2 + 2x3 + X4 = 3x23 2x41 4X4 = (d) X1 + X2+ X3+ X4+ X5 = 5 2x2 + X3-2x4 + X5=1 4x3 + x4-2x5 = 1 2. Write out the coefficient matrix for...
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
1. For the following two systems of linear equations answer the questions 4 + x + 2xy + 2x - 6 3x + 2x + 3x3 + 3x = 11 2x + 2x + 3.5+ 2x- 9 2x + 2x+4x3+5x - 13 3x, +2, +4x3+4x-13 3x+3x+3x2+2x, -11 (1) Solve the above systems of linear equations using naive Gauss elimination (b) solve the above systems of linear equations using Gauss elimination with partial pivoting . Axb 2. For the following matrix...
1) Solve the following system of linear equations using a Gauss Elimination Method (5 pts) 5x1 + 5x2 + 3x3 = 10 3x1 + 8x2 – 3x3 = -1 4x1 + 2x2 + 5x3 = 4
using MatLab R611 + R1(11 – 12) + R2(11 – 13) = V1 R312 + R4(12 – 13) + Ri(12 – I1) = V2 R513 + R4(13 – 12) + R2(13 – 11) = V3. = = 2012, R3 512, R4 = 1512, R5 = Let the resistances be given by Ri 1012, R2 want to calculate the currents 11, 12, and 13. 3012 and R6 2512. We = (a) Write the equations in matrix form Ax b, where x...
2,3, 6, 7 1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...