Problem 3. Consider the following the linear system . Solve the above linear system by using Gaus...
(Use MATLAB) Use Gaussian elimination with backward substitution to solve the following linear system. For this problem you will have to do scaled partial pivoting. The matrix A and the vector b are in the Matlab code shown below A=[3 -13 9 3;-6 4 1 -18;6 -2 2 4;12 -8 6 10]; display(A); b=[-19;-34;16;26]; display(b);
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13 1. Solve the following linear system of equations using 13 1 2][X1] 6 2 9||X2| = |17 15 3 2] [X3] L a. Naïve Gaussian Elimination and b. Gaussian Elimination with partial pivoting
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination method x,+x: + x) = 1 +2x, +4x1 x 19. Solve the linear system of equations using the Gauss elimination method with partial pivoting 12x1 +10x2-7x3=15 6x, + 5x2 + 3x3 =14 24x,-x2 + 5x, = 28 20. Find the LU decomposition for the following system of linear equations 6x, +2x, +2, 2 21. Find an approximate solution for the following linear system of equations...
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...
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...
Total(25 marks) 3. Given the system of equation as 3x + 7y - 2z=2 x - 5y + z = 13 2x + 3y - 102=-23 (a) Write a Matlab/C++ computer program to solve the system of linear equations based of the partial/scaled pivoting technique in Q3b below/ You can use any programming language] CR(10) An(9) AP(3) An(3) (b)Solve the system of equation using Gauss-Jordan Elimination method Hence Find the ii) Determinant of the matrix A, the coefficient Matrix of...
3. Given the following system of linear equation: (5x + 6y + 72 = 18 10x + 12y + 3z = 25 (20x + 17y + 192 = 56 (a) Solve the system using only Cramer's rule. (6) Solve the system using only Inverse Matrix Method. (c) Solve the system using only Gaussian Elimination.
PREGUNTA 1 Simplest method to solve a system of linear lgebic equations O Graphical Method Cramer's Rule Method The Elimination of Unkmowns Method None of Above PREGUNTA 2 The NAVIE-GAUSS Elimination Method has to phases: Backward elimination and Forward substitution o Falso PREGUNTA 3 One technique to improve the solution of a linear algebraic equation system is PIVOTING o Falso PREGUNTA 4 GAUSS-JORDAN is a method to solve a system of linear algebraic equations o Falso PREGUNTA 5 Solve the...
Solve the following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−Solve the following system of equations using LU decomposition with partial pivoting:2x1−6x2–x3=−38,−3x1–x2+6x3=−34,−8x1+x2−2x3=−40
Q1 The linear system Ax = b is given by: x1−x2 + 4x3 = 7 4x1 + 2x2 –x3= 18, x1 + 3x2+ x3 = 16, has the solution x=(3, 4,2)T. Using the initial guess x (0)=(1, 1,1)T Solve the above system as is using: Gauss-Seidel method. If the error increases, what does that mean and what should you do? (see b below) Condition the system so that convergence is secured and solve using the Gauss-Siedel method. Q2: Find a system...