Find all the basic solutions of the given system 2x, + 3x, + x, +4x4 = 6 X, +2x, + 2x3 + 2x, =3

Q: Find the general solution of the given system of equations: -3 -6 -2 X' 0 1 0 -2 -1

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Q: Find the general solutions of the system. 30-4 4# -15 -1 x 10 7 x(t) =

A: We solve given system by eigenvalues and eigenvectors.

Q: Find the general solutions of the system. - 12 0 - 4 x' = -1 - 10 -1 x 0 -8 x(t) =

A: Solution by using eigenvalues and eigenvectors as follows :

Q: /5 -4 0) X' 1 0 2 2 5 ||

A: First find the Eigen value of the matrix:

Q: X' = [ x -2 %3D -1 -4.

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Q: Find the general solution of the given system. 8 -10 X' = 10 -8 X(t) =

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Q: Find a complete solution of the system x = -x, +x +2x, x = x + 2x3 +x given that (0)-

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Q: Find the general solutions of the system. - 11 1 X': 0 - 9 -4 x 1 - 13

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Q: Find the general solutions of the system. 8 1 x' = 0 10 -4 x %3D 1 (t) =

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Q: Solve the system: (3x- 4y = 100 4y +. 3 100 (100,50) (50,100) (0,-25) (50125 品 _3

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Q: The number of degenerate basic solutions of the system, x₂ + 2x₂ + x3 = 4, 2x₁ +x₂ +5x₂ =5 is ?.

A: Given system of linear equations are   x1+2x2+x3=42x1+x2+5x3=5 Degenerate basic feasible solution,…

Q: Solve the following system. 5x – 2y = 2 - 3x +y=-2 O (-2, 4) O (1, 1) o (-1,-) O (2, 4)

A: Given equations are: 5x-2y=2                      ⋯1-3x+y=-2                   ⋯2 Multiply equation…

Q: Find the general solutions of the system. -4 -9 x' = 1 2 1 -1 x(t) %3D 3.

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Q: (a) Find the general solution of the given system of equations. )= :). 5 -9 x': 2 -4

A: Introduction: The system of differential equation is represented as x'=Ax This system is homogeneous…

Q: Find the General Solution of the System of Equations. 2 -1 X X' 1

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Q: Find all the solutions of the system of equations X, + 2x, – x3 = 1, 3x, – 2x, + 2x, = 2, 7x, – 2x,…

A: In the given system of equation replacing x1 by x, x2  by y and x3 by z , we get…

Q: Find the general solution of the system: 0\ 3 = -1 1

A: We have to find the general solution of given system

Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a)…

A: The number of degenerate basic solution of the system is nCm. So 3C2 which is 3!/2!

Q: Use A to find the solution to the given system. x, +2x, +3x, = 1 2x, +5x, +3x, = 6 + 8x, =-6

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Q: Solve the system. 74) х + у + z-2 х-у +2z 2 4x + у + z-11 А) (-3,-1,2)} B) (2, -1, -3)} С) (2, -3,…

A: Solution: As per our guidelines, we are supposed to answer only the first question if multiple…

Q: 1. Find the general solution of the system: -6 2 X = -3

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Q: Solve the following system of equations. 2x-3y =4 - 2x+6y %3D =-10

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Q: Find the general solutions of the system. - 14 -9 0 x' = 1-8 0x 1 x(t) =

A: Please see the attachment

Q: Find the general solution to the given system. 2x1 + 10x2= -4 -2x3 = 6

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Q: Solve the given linear system. -2 = (-²5)× X -2 4 X(t) = X' X

A: Consider the given linear system, x'=-25-24x it can be written as x'=Ax. The eigenvalues will be,…

Q: Solve the system. 2x+2y+z = -2 -x-2y+2z = -5 2x+4y+z = 0 ? ojo x

A: Given that 2x+2y+z=-2-x-2y+2z=-52x+4y+z=0To find ; value of x, y ,zSolution 2x+2y+z=-2…

Q: Find the set of solutions for the given linear system. (I -8x1 + X2 + 8x3 = 1 7x3 + X4 = -3 (X1, X2,…

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Q: Solve the system: X- X, +2x3 + x4 = 0 2x - 3x, +4x3 = 5 X + x, + x3 = 2 4x, - 4x, +8x, +4x, = 3

A: The system of the linear equation can be solved using the gauss jorden method. The augmented matrix…

Q: 2- Solve the system [2х, + 2х2 — 3xз X1 + x2 + 2 x3 = 1] 21 %3|

A: Solution is given below:

Q: Determine which is the solution of the system. -3x + y+ z = -4 -x + 2y – 2z = 1 2x – y – z = -1 %3D…

A: The given system of equations is                                                  -3x+y+z=-4…

Q: Solve each system by any method. 9x + 8y = 0 and 6x - 12y = -13 -2 3 y = 4 x = -1 , y= 1 6 x = 3 -2…

A: solve the system of equation .

Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: Determine if the system has a nontrivial solution: |-5x, + 7x, +9x, =0 4-2x,+6x,%3D %3D 3D0

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Q: 3) -10x + 10y = -10 -20x + 7y = 19 %3D

A: We have to solve the system by elimination. in the elimination method we have to find the value of…

Q: Solve the system: 3x2 + 2y2 = 35, 4x2 + 3y2 = 48.

A: We have to solve the system of equation: 3x2+2y2=35    ...........14x2+3y2=48    ............2…

Q: Find the general solutions of the system. 500 x' = 4 9 4 X 0 0 5 x(t) =

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Q: Solve the given system . 2x+y= - 1 5x+3y=2

A: Given the equations  2x+y=-1 and 5x+3y=2. We need to solve the above equations.

Q: Solve each system by elimination. 1) 3x - 8y =-2 3x - 10y=-10 (10,4)

A: This is a problem of linear system of equation. Based on the elimination method we will solve it. As…

Q: Find the general solution of the following linear system. 2 2-4 <H3) y' = 2 -1 -2 y 4 2-6 with λ =…

A: This question is related to system of ode.

Q: Find a complete solution of the system x=- +x + 2x, 2 = x, + 2x, +2 given that a(0)-

A: Given system is x1'=-x2+x3x2'=-x1+x2+2x3x3'=x1+2x2+x3u, v, w With initial condition x(0)=0-10 We can…

Q: Use A to find the solution to the given system. x +2x, +3x, = 5 2x, +5x, +3x, = 3 %3D +8x, = 17

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Q: the general solution of the following system X, +2x, - 3x, +x, = 2 X3 +4x, - 2x, = -1. X +2.x, +x3 +…

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Q: Find the general solutions of the system. 8 0 1 0 10 %3D -4 x 0 1 1 6

A: Given: x'=801010-4016To find the general solution of the system.

Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₁ + x₂ +5x3 = 5 is ?. a)…

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Q: Find the general solution of the given system of equations. 9 x = (-15 ²5 ) x + (²) -15

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Q: Find all the basic solutions of the given system 2x, + 3x, + x3 +4x, = 6 X, +2x, + 2x3 +2x, =3

A: The value corresponding to the non basic variables is 0, value of basic variable may be zero.

Q: Solve the given linear system. -2 5 X' = -2 4 X(t) =

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Q: Solve the following system: 2x + y - 3z = -3 x + 3y - 4z = 11 x + 8y-9z = 5 (2,-1,0) no solution

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Q: Determine if the given ordered triple (-1, 3, 2) is a solution of the system: x - 2z = -5, y - 3z =…

A: Given: x-2z=-5    .............(1)y-3z=-3    .............(2)2x-z=-4    .............(3) To verify:…