Let x, y and z be the variables. Then the given system can be written as,
1x + 2y - 1z = 4
0x + 1y + 3z = 13
0x + 0y + 2z = 6
Now from the third equation, we get,
2z = 6
i.e. z = 3
So from the second equation we get,
y = 13 - 3z
i.e. y = 13 - (3*3)
i.e. y = 13 - 9
i.e. y = 4
And then from first equation we get,
x = 4 - 2y + z
i.e. x = 4 - (2*4) + 3
i.e. x = 4 - 8 + 3
i.e. x = -1
So the solution of the system is,
(x, y, z) = (-1, 4, 3)
14.6. Rewrite the given matrix as a system of equations and then solve the system. (Work...
5 1 Solve the following system of equations by using the inverse of the coefficient matrix. The inverse of the coefficient matrix is shown. 0 4 4 4 11 1 Niw w 2 2 1 А x - 2y + 3z = -1 3 13 1 -2 y - Z + W = -5 4 4 4 - 3x + 3y - 22 + 5 w = -2 3 5 1 - 1 2y - 32 + W = 3...
13. O --0.71 points WaneFMT 43.044 matrix inversion to solve the given system of linear equations.(You previously solved this system using row Need Help? Wah
explanation too
Problems 7-11: The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. State the solution in vector parametric form. In your augmented matrix, draw a vertical line that represents the equal sign, label all columns of the augmented matrix, and before each new row, write the operations that give you that new row and show the scratch work on the same page...
Matrix inversion and determinants
5.3.044 Use matrix inversion to solve the given system of linear equations. (You previously solved this system using row reduction in Chapter 4.)
4) Given the system of equations {x-3x2 + 2x2 lxa a) Rewrite the system in the form of x' = Aš b) Solve for the general solution using eigenvalues and eigenvectors c) Sketch the eigenvectors and a few typical trajectories indicating direction of solutions. 8 6 2 -10 -8 6.4 -2 6 8 10 2 -4 -6 -10
(1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the formy - P(t)y + g(t). Use the following change of variables y (t) y2(t)y'(t) 3 (t) y(t) у(t) z(t) -y2 4
(1 point) Consider the system of higher order differential equations 2 Rewrite the given system of two second order differential equations as a system of four...
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Use an inverse matrix to solve each system of linear equations. (a) x + 2y = -1 x-2y = 3 (x, y)=( (b) x + 2y = 7 x - 2y = -1 (x, y) = Use an inverse matrix to solve each system of linear equations. (a) X1 + 2x2 + x3 = 0 X1 + 2x2 - *3 = 2 X1 - 2x2 + x3 = -4 (X1, X2, X3) - (b) X1 + 2x2 +...
1. Use Gauss-Jordan Elimination to solve the following system of equations. You must show all of your work identifying what row operations you are doing in each step. Do not use a graphing calculator in order to reduce the matrix or you will not receive credit for the problem.. 2x -4y + 6z-8w-10 -2x +4y +z+ 2w -3
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