Homework Answers
Firstly ,try to understand the first part step by step then the rest three. Any doubt, ask in comment section.
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1. Use Cramer's rule to solve the following equation systems: (a) 3x1 - 2x2 = 6...
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. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16...
3. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16 (©) 4x + 3y - 2z=1 2x2 + 5x3 = 5 x + 2y = 6 2X1 + 3x3 = 7 3x + Z=4 (6) - X1 + 3x2 + 2x3 = 24 (d) -x + y +7= a X, + x3 = 6 x-y+z=b Sx2 - X+Y-7=C X3 = 8
Use an algorithm that you would systematically follow to apply the technique and solve each set o...
Use an algorithm that you would systematically follow to apply
the technique and solve each set of systems of linear
equations.
For example, you may select the technique of finding the
inverse of the coefficient matrix A, and then applying Theorem
1.6.2: x = A^-1 b. There are several ways that we have learned to
find A^-1. Pick one of those ways to code or write as an
algorithm.
Or another example, you may select Cramer’s rule. Within
Cramer’s rule,...
DETAILS LARLINALG8 3.4.021. Use Cramer's Rule to solve (if possible) the system of linear equations. (If...
DETAILS LARLINALG8 3.4.021. Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 4x1 X2 + x3 = -13 2x1 + 2x2 + 3x3 = 11 2X2 + 6x₂ 5x1 6 (*1, X2, X3) =
need help on number 13 Exercises 11-16. Represent each linear system in marrix form. Solve by...
need help on number 13
Exercises 11-16. Represent each linear system in marrix form. Solve by Gauss elimination when the system is consistent and cross-check by substituting your solution set back into all equations. Interpret the solution geometrically in terms planes in R3. of 2x1 +3x2 x3 = 1 4x1 7x2+ 3 3 11. 7x1 +10x2 4x3 = 4 3x1 +3x2+x3 =-4.5 12. x1+ x2+x3 = 0.5 2x-2x2 5.0 x+2x2 3x3 1 3x1+6x2 + x3 = 13 13. 4x1 +8x2...
USE THE BRANCH AND BOUND (B&B) ALGORITHM!!!! Please show all the steps, including the branchi...
USE THE BRANCH AND BOUND (B&B) ALGORITHM!!!!
Please show all the steps, including the branching and the
graphs.
362 Chapter 9 nteger Linear Programming 9-56. Develop the B&B tree for each of the following problems. For coaseni xi as the branching variable at node 0. (a) Maximizez 3xi + 2r2 subject to x, x2 2 0 and integer (b) Maximizez2r, + 3x2 subject to 5x 7x2 s 35 x1, x2 0 and integer (c) Maximizezx + x2 subject to 2x1...
Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve...
Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 3x1 - 2x2 + 9x3 + 4x4 = 27 -X1 - 9x3 – 6X4 = -9 3x3 + X4 = 7 2X1 + 2x2 + 8x4 = -36 (x1, x2, x3, x4) = Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 - k)y...
6. (15 points) The EoM of a system is given below. The inputs are u(t) and...
6. (15 points) The EoM of a system is given below. The inputs are u(t) and u2(t the outputs are x1, , x2. Write the state space representation of the system.X AX+BU and Y = CX + DU) 2x1 + 4x1-2x2 + 8x1-2X2 = 24(t) + 6u2(t) 3X2ー6x1 + 3x2-3x1 + 9X2-u2(t)
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 ...
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use Cramer's rule to compute the solutions of the system
Use Cramer's rule to compute the solutions of the system 3x1 + 5x2 = 9 2x1 + 5x2 = 6What is the solution of the system? x1 = _______ x2 = _______
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. Use Cramer's rule to solve the following equation systems: (a) 8x1 - x2 = 16 (©) 4x + 3y - 2z=1 2x2 + 5x3 = 5 x + 2y = 6 2X1 + 3x3 = 7 3x + Z=4 (6) - X1 + 3x2 + 2x3 = 24 (d) -x + y +7= a X, + x3 = 6 x-y+z=b Sx2 - X+Y-7=C X3 = 8
Use an algorithm that you would systematically follow to apply
the technique and solve each set of systems of linear
equations.
For example, you may select the technique of finding the
inverse of the coefficient matrix A, and then applying Theorem
1.6.2: x = A^-1 b. There are several ways that we have learned to
find A^-1. Pick one of those ways to code or write as an
algorithm.
Or another example, you may select Cramer’s rule. Within
Cramer’s rule,...
DETAILS LARLINALG8 3.4.021. Use Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 4x1 X2 + x3 = -13 2x1 + 2x2 + 3x3 = 11 2X2 + 6x₂ 5x1 6 (*1, X2, X3) =
need help on number 13
Exercises 11-16. Represent each linear system in marrix form. Solve by Gauss elimination when the system is consistent and cross-check by substituting your solution set back into all equations. Interpret the solution geometrically in terms planes in R3. of 2x1 +3x2 x3 = 1 4x1 7x2+ 3 3 11. 7x1 +10x2 4x3 = 4 3x1 +3x2+x3 =-4.5 12. x1+ x2+x3 = 0.5 2x-2x2 5.0 x+2x2 3x3 1 3x1+6x2 + x3 = 13 13. 4x1 +8x2...
USE THE BRANCH AND BOUND (B&B) ALGORITHM!!!!
Please show all the steps, including the branching and the
graphs.
362 Chapter 9 nteger Linear Programming 9-56. Develop the B&B tree for each of the following problems. For coaseni xi as the branching variable at node 0. (a) Maximizez 3xi + 2r2 subject to x, x2 2 0 and integer (b) Maximizez2r, + 3x2 subject to 5x 7x2 s 35 x1, x2 0 and integer (c) Maximizezx + x2 subject to 2x1...
Use a software program or a graphing utility with matrix capabilities and Cramer's Rule to solve (if possible) the system of linear equations. (If not possible, enter IMPOSSIBLE.) 3x1 - 2x2 + 9x3 + 4x4 = 27 -X1 - 9x3 – 6X4 = -9 3x3 + X4 = 7 2X1 + 2x2 + 8x4 = -36 (x1, x2, x3, x4) = Use Cramer's Rule to solve the system of linear equations for x and y. kx + (1 - k)y...
6. (15 points) The EoM of a system is given below. The inputs are u(t) and u2(t the outputs are x1, , x2. Write the state space representation of the system.X AX+BU and Y = CX + DU) 2x1 + 4x1-2x2 + 8x1-2X2 = 24(t) + 6u2(t) 3X2ー6x1 + 3x2-3x1 + 9X2-u2(t)
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
Use duality to solve problem 4 4. Minimize z-8x1 + 4x2 + 16x3 subject to 2x1 + 2x2 + 3x3 216 3x1 +x2 t 4xs 2 14 3x +x2 + 5x3 2 12 xi,x2, x320
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