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Linear Algebra
1) For each of the following linear systems of equations I. 2x, x 3...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In...
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 =...
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Excel Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2...
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
3 Linear systems 18. Solve the linear system of equations using the Naive Gauss elimination metho...
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...
1. For the following two systems of linear equations answer the questions 4 + x +...
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...
**PLEASE USE MATLAB 2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find th...
**PLEASE USE MATLAB
2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
linear algebra question 1. Let Q(x) = 3x1 X2 + 5X1 x3 + 7X1 X4 +...
linear algebra question
1. Let Q(x) = 3x1 X2 + 5X1 x3 + 7X1 X4 + 7x2 x3 + 5x2 x4 + 3x3 n Find the maximum value Q(x) subject to the constraint xx 1, and find a unit vector u this maximum is obtained. a. 1 and xu o. b. Find the maximum value Q(x) subject to the constraintx
For linear algebra Exercise 2.4.3 In each case, solve the systems of equations by finding the...
For linear algebra
Exercise 2.4.3 In each case, solve the systems of equations by finding the inverse of the coefficient matrix. a. 2x+2y=1 2x-3y-0 b. c, x+ y+ z= 0 d. 2x+3y + 3z =-1
For the following system of linear equations, use MATLAB of solution or no solution exists. Accor...
Use MATLAB to solve question 7
For the following system of linear equations, use MATLAB of solution or no solution exists. Accordingly, take the appropriate action. Explain your answers 1. to determine whether a unique solution, infinite numbe 3X1 + 4X2 + 2X3-X4 + χ5 + 7x6 + x,-42 2X1-2X2 + 3x3-4X4 + 5X5 + 2x6 + 8x7-32 x1 + 2x2 + 3x3 +x4 + 2x5 + 4x6 + 6x7 = 12 5x1 + 10x2 + 4x3 + 3x4 +9X5-2X5...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y=...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
Use the Gaussian elimination method to solve each of the following systems of linear equations. In each case, indicate whether the system is consistent or inconsistent. Give the complete solution set, and if the solution set is infinite, specify three particular solutions. 1-5x1 – 2x2 + 2x3 = 14 *(a) 3x1 + x2 – x3 = -8 2x1 + 2x2 – x3 = -3 3x1 – 3x2 – 2x3 = (b) -6x1 + 4x2 + 3x3 = -38 1-2x1 +...
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
Excel
Use Simplex method and Exel To solve the following LPPs. Maximize Maximize P-3x + x2 subject to the constraints x1 + x2 = 2 2x) + 3x2 s 12 3x + = 12 x 20 x220 P = 5x1 + 7x2 subject to the constraints 2xy + 3x2 = 12 3x + x2 = 12 x 20 *2 2 0 Maximize Maximize P = 2x2 + 4x2 + x3 subject to the constraints -*1 + 2x2 + 3x3 5...
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...
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...
**PLEASE USE MATLAB
2. For each system of linear algebraic equations, determine if the system is underdetermined, has an exact solution, or is overdetermined. If the system is underdetermined, find the general solution and then find a particular solution and check your answer. If the system is exact, find the unique solution and check your answer. If the system is overdetermined, find a least squares solution. 3x, + 2x,-4x, + x,-2 -x, +5x2 + 2x, + 3x4 = 4 4x,...
linear algebra question
1. Let Q(x) = 3x1 X2 + 5X1 x3 + 7X1 X4 + 7x2 x3 + 5x2 x4 + 3x3 n Find the maximum value Q(x) subject to the constraint xx 1, and find a unit vector u this maximum is obtained. a. 1 and xu o. b. Find the maximum value Q(x) subject to the constraintx
For linear algebra
Exercise 2.4.3 In each case, solve the systems of equations by finding the inverse of the coefficient matrix. a. 2x+2y=1 2x-3y-0 b. c, x+ y+ z= 0 d. 2x+3y + 3z =-1
Use MATLAB to solve question 7
For the following system of linear equations, use MATLAB of solution or no solution exists. Accordingly, take the appropriate action. Explain your answers 1. to determine whether a unique solution, infinite numbe 3X1 + 4X2 + 2X3-X4 + χ5 + 7x6 + x,-42 2X1-2X2 + 3x3-4X4 + 5X5 + 2x6 + 8x7-32 x1 + 2x2 + 3x3 +x4 + 2x5 + 4x6 + 6x7 = 12 5x1 + 10x2 + 4x3 + 3x4 +9X5-2X5...
3. Write the following systems of linear equations using augmented matrix form a. 6x+7y= -9 X-y= 5 b. 2x-5y= 4 4x+3y= 5 C. x+y+z= 4 2x-y-z= 2 -x+2y+3z= 5 4. Solve the following Systems of linear equations using Cramer's Rule a. 6x-3y=-3 8x-4y= -4 b. 2x-5y= -4 4x+3y= 5 c. 2x-3y+z= 5 X+2y+z= -3 x-3y+2z= 1
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