Find the general solution to the following 3-by-3 linear system: 1 -5 10 =2 -4 dt 8 x. 3 -5 8

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A: x - 2y + 3z - 2w = 0. -3x + 6y + 3z = 0 or x - 2y - z = 0. -2x + 4y + 4z - w = 0. Or x - 2y + 3z =…

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A: Consider the provided question,

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A: Here we have to solve the linear system by using the elimination method,  x+4y-z = 12…

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A: Use the given information.

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A: The given system of equations is:

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A: General solution of the system of differential equation

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A: We solve by eigenvalues and eigenvector method.

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Q: Consider the following system of equations: 1x +ly +4z 18 2x +2y -1z 1x -10y +4z 40 I| ||

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Q: Find the general solution of the following nonhomogeneous system: 2 3 -8x – 1 2 1

A: Let y→=y1y2    ⇒y→'=y1'y2' so,  y1'y2'=2321y1y2+-8x-13y→'=Ay→+b .....(1)…

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Q: Find the general solution of the system dri(t) dt dr₂(t) dt 2x1 (t) + 2x2(t) + t ri(t) + 3x2(t)-2t.

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Q: Find the general solution to the following 3-by-3 linear system: 1 -5 10 2 -4 8 X. dt 3 -5 8.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the general solutions of the system. 5 0 0 x' =-1 6 1X 0 0 5 x(t) =

A: Let x'=Ax be a system of homogeneous linear differential equations, where A is a square matrix of…

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Q: Solve the following system using Gaussian elimination: 2y + 3z = 1 x + 2y - z = 13 Equation 1…

A: We write the system of equations in matrix form as 1-2312-132-5xyz=1133 Consider 1-2312-132-51133 We…

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A: The solution is,  x1=4x2=0x3=0

Q: Solve the following system by the subsitution method. x2+y2=41 x-y=1

A: Given Data: Equation 1: x2+y2=41 Equation 2: x-y=1 Solve equation (2) for y. x-y=1y=x-1 ......3…

Q: Find the general solution to the following non-homogeneous system. -1 x + 4 3t x' 3 9.

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Q: 3 2 10 3 11 = Z 10 3 x-y+z =}

A: The given equations are as follows:  13x-15y+12z=710 ...(1)-23x+25y+32z=1110...(2) x-45y+z=95...(3)…

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Q: Find the general solutions of the system. 5 -9 0 x' = 1 11 0 x 1 3 8 x(t) =

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Q: Solve the following system of linear equations by Gramer’s Rule.. [x+y+2z=1 ] [2x –y-z=0 ] [x+2y-z=4…

A: Answer