option b is true
becuse fourth row replace by sum of itself and -2 time of 2nd row
4y+5z-4w-2(4y-z-3w)=8-2(-5)
-4y+7z+w=18
remain three rows remains same fourth convert in it
Obtain an equivalent system by performing the stated elementary operation on the system. Replace the fourth...
Obtain an equivalent system by performing the stated elementary operation on the system. Replace the third equation by the sum of itself and -2 times the second equation. 9x - 7y - 10z = 27 3x + 13y - 12z = 15 2x + 2y - 7z = -10
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
Find the complete solution of the system of equations below and write the solutions in the form of x = x + xn, where x, is the particular solution and xn is a solution to the homogeneous system. x – y – 2z + 3w = 4 3x + 2y – z + 2w = 5. -y – 7z + 9w = -2
Problem 3. Solve the value of x, y, and z of the given system of equations using matrix algebra. (1) 6x + 8y -7z=-145 9x-3y -62 = -180 -5x + 12y + 4z = 98
Matlab
Provide the MATLAB commands needed to determine the solution to the following system of equations in a MATLAB program (linearequation.m). Use MATLAB to check the solution by multiplying coefficient matrix A with the solution vector x, to produce b. That is, Ax = b. w + 3x + 4y = 31 2w + x + 3y + z = 27 9x + 7y + 2z = 72 4w + 3x + 2y + 2z = 27.
(6 points) Evaluate the following system using the augmented matrix method. When performing row reduction, be sure to indicate your row operations. x 2x -x + 2y + 5y + 4y – + – 2= z = 2z = -3 1 3 (12 points) Evaluate the following system using Gauss-Jordan elimination. When per- forming row reduction, be sure to indicate your row operations. 2x x -x (a) – + + y + z = y + 2z = 3y +...
#2. Solve the system of equations by any method. ( x + 2y + 3z + 4w = 5 J -5x - 4y + 3z + 2w = 1 1 x-y+z-w = 1 2x + y + 2z + w = 2 Answer: (x,y,z,w) =
In exercises 9-18 apply elementary equation operations to the given linear system to find an equivalent linear system in echelon form. If the system is consistent then use back substitution to find the general solution. See Method (1.11) and Method (1.1.2) 4x + 3y + z = 0 3x + 2y + z = -2 10. 3x-5y + 2z =-1
3. Solve the system of equations 5x + 3y + z 23 3x + 4y-z 21 4x + 5y 2z 26 4. Solve the system of equations. 4x-2y + 3z 27 5x 7y + 4z 39
5. Solve the following system, using Row-Echelon form or Gauss-Jordan elimination: -x +3y-2z + 4w = 0 2x-6y + z-2w =-3