4 Express the given system of linear equations as a vector equation. -2x1 + 5x2 -...
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
Write the system of equations as a matrix equation of the form AX = B. X1 - 2x2 + 3x3 = - 4 - 2X1 + 4x2 = 1 X1 + X2 + 3x3 = - 3 X1 X2 = X3 (Type an integer or decimal for each matrix element.)
1 Find the value of h for which the following linear system is consistent and find the general solution in vector form of the resulting consistent linear system. x1+ x2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10 numbers next to x’s are base numbers
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...
70. In each part, find matrices A, x, and b that express the given system of linear equations as a single matrix equation Ax = b, and write out this matrix equation. (a) 2x1- x2+3x3= xi + 3x2 X2-X3= 1 -X1 (b) 4x1 + 4x2 + 4x3 = 4 4x2-2x3 =-2
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...
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
1. [-/1 Points] DETAILS CHENEYLINALG2 1.1.001. MY Solve this system of equations and verify your answer. (If the system is inconsistent, enter INCONSISTENT.) 2x2 – 3x3 = -10 4x1 + x2 + 3x3 47 5x3 = 40 (x1, x2, x3) 2. [-/1 Points] DETAILS CHENEYLINALG2 1.1.002. MY Solve this system of equations and verify your answer. (If the system is inconsistent, enter INCONSISTENT.) 3x1 = 2x1 6 5x2 + 6x3 = -35 + 5x3 = -28 - 4X1 (x1, x2,...
Problem #5 -- Consider the following linear programming problem: Maximize Z = 2x1 + 4x2 + 3x3 subject to: X1 + 3x2 + 2x3 S 30 best to X1 + x2 + x3 S 24 3x1 + 5x2 + 3x3 5 60 and X120, X220, X3 2 0. You are given the information that x > 0, X2 = 0, and x3 >O in the optimal solution. Using the given information and the theory of the simplex method, analyze the...
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 +...