Illustrate two different state-variable formulations that model the system whose difference equation is given by: e(k + 1) + 2e(k) = y(k + 2) + 6y(k+1) + 5y(k)

Q: Q1: Solve the linear system using Crammer rule: 2х + 3у + z 3 -6 —х — Зу + 2z %3D 7 -x - z = 1

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Q: Find the general solutions of the system.   x′=   6 0 1   0 8 −4 0 1 4x       x(t)=enter your…

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Q: Solve the problem of time-optimal control to the origin for the system à1 = -x2, i2 = x1+ 2u, where…

A: Consider the given equation. x˙1=-x2                     1x˙2=x1+2u                2 Rewrite the…

Q: 24. Solve the system. [x, y] = [-9, – 1] + s{2,3] [x, y) = [-8,2) + 1{2.1]

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Q: Solving a System of Linear

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Q: O True, there is always the trivial solution, when all variables are equal to 1. O True, there is…

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Q: 1. Solve the system by Gaussian elimination x+y-5z =-18 3x-3y+z 6 x+3y-2z = -13

A: Consider the given system x+y−5z=−183x−3y+z=6x+3y−2z=−13.........1 We have to solve the given system…

Q: Given the linear system3x + 4 y = s 6x + 8 y = t , (a) Determine particular values for s and t so…

A: Given: Given the linear system:3x+4y=s6x+8y=t To Determine: a. Particular value for s and t so that…

Q: Given the linear system 2x − y = 5 4x − 2y = t, (a) Determine a particular value of t so that the…

A: Given the linear system2x − y = 54x − 2y = t,

Q: Find the general solutions of the system.   x′=   3 0 0   −3 6 3 0 0 3x       x(t)=enter your…

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Q: 5. Find a general solution of the linear system. x' = 2x + y ,' = x + 2y – e2t %3D -

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Q: Solve the system equations 10x+y+2=12 , x+10y+z=12, x+y+10Z3D12 using gauss elimination method

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Q: 24. Solve the system. [x, y] = [- 9, – 1] + s[2,3] [x, y] = [- 8,2] + t[2,1]

A: We have to solve the given system.

Q: 1 0 0 4 0, solve the system A²x = b, where b = -3 2. Given A-¹ = 0 1-2 1 [2].

A: It is given that,  A-1 = 100040-21-3 We have to solve the system  A2x = b,  where  b = 124

Q: Part 3: Identify the value/s of a that will make the system inconsistent (no so (x + 4y + 2z = 0 2х…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (The equation…

A: Since you have posted multiple questions, we will solve only first question. If you want to solve…

Q: ! Use Gramer's rule to solve the following system * x+y = 2 2x – z = 1 2y -3z -1

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Q: Find the critical point of the following nonlinear system which does not lie on the coordinate axes.…

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Q: 2. A chemist has two alcohol solutions, one containing 5% alcohol and another containing 20%…

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Q: 5) A condition on a b. in order for the system and 1 -3 a +b 3. a -b to be consistent is ......

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Q: 3. Consider the system X = 3x1 + 4x2 X = -2x1 – 3x2. (a) What is the classification of the…

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Q: A system such as(3/x) + (2/y) = 2(2/x) - (3/y) = 1/4 is not a system of linear equations but can be…

A: The given system of equations contain the terms 1x and 1y. We substitute 1x=u, 1y=v and then solve…

Q: 4. Find the general solution of the given system: dx1 dt dx2 dt = = = 7x1 +4x2 -3x1-x2

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Q: Find the best approximation to a solution of the linear system 2.x + y = 1 x – y = 2 | x + 5y = 3

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Q: Use carmer's rule to solve the system  x+2y-4z = 0 2x+5y      = 4         y- z   = 3

A: Firstly find ∆,∆x,∆y  and ∆z .If ∆,∆x,∆y,∆z≠0 then system has unique solution.and solution is…

Q: What is/are the solution(s) to the system y = x2+4, y = -x2+4 and y=x+4? %3D O no correct answer O…

A: Solve two of the equations and by substituting the solution in third equation we can identify the…

Q: Explain two separate steps of general solution of a nonhomogeneous linear system?

A: The general solution of a non homogeneous linear differential equation consists of two parts, the…

Q: Is it possible for a system of linear equations with fewer equations than variables to have no…

A: we need 3 equations to solve for 3 variables.

Q: Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a…

A: System of Linear equations and solution

Q: A professor wants to create a test that has 12 true-false questions, 8 each multiple-choice question…

A: Solve the following

Q: Consider the following linear system: y': [13], 1. Find the general solution of the linear system. y

A: Note: according to our guideline we can answer only first question

Q: Consider the system AX = B given by -2 4 -5 -1 3 T2 -1 1 r3 If it is known that: • |4| = -24, -2 3…

A: We will use Cramer's rule

Q: Given the linear system2x − y = 5 4x − 2 y = t ,(a) Determine a particular value of t so that the…

A: Consider the given equation as 2x-y=5, 4x-2y=t

Q: 0 2 2 X' X + 3, %3D -1 e-3t

A: According to question,X' = 02-13X + 2e-3t        ......1

Q: X +X, +x; = 1 ka +2x, +x = 2 kx +4x, +x, =3

A: Given system of equations  x1+x2+x3=1kx1+2x2+x3=2k2x1+4x2+x3=3 find the value of k

Q: The solution of the system [3x - 2y = 4 is: x + 2y = 4 x = -1, y = -2 x = -2, y = 1 x = 1, y = 2 x =…

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Q: 4. Determine the general solution to the system. x' = 4x- 2y y' = 3x- y %3D

A: The given system,x'=4x-2yy'=3x-y

Q: Consider the following linear system: y' - [13] 1. Find the general solution of the linear system. y

A: Given That : Linear system  y'=131-1y To find : general solution of the linear system and sketch the…

Q: Consider the following system of llinear equations. 1/3x+y=5/4 2/3x-4/3y=5/3 Part A: What…

A: The linear equations 13x+y=5423x-43y=53 we have to solve these equations by eliminating methods.

Q: 4. Find a general solution of the linear system. x' = 2x + y = x + 2y – e2t

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Q: 2. For the fellaring what value of system is consistent. 21-12=h -6143x2=Ki K +3h=0 %3D

A: We have the system of equation as:   2x1 - x2 = h   -6x1 + 3x2= k These two equation can be viewed…

Q: 30. What value of b will make the system y 3x + 2 and y 3.5x+b intersect at the point (2, 8)?

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Q: What are the solutions of the nonlinear system which represented by the given graph.. 5 y = x² + 1…

A: Given gar

Q: What are the solutions of the nonlinear system which represented by the given graph. 5 4. y = x² +…

A: here we will find solutions of nonlinear system,

Q: 2x’ + 4y’ + x – y = 3et x’ + y’ + 2x + 2y = et linear system solutions =?

A: Solve the given system of equations:2x'+4y'+x-y=3etx'+y'+2x+2y=et

Q: If det(A)=5, det(A1)=20 and det(A2)= -10, then the solution (values of x and y) of the linear system…

A: Given that detA=5, detA1=20 and detA2=−10. We have to find the value of x and y by using Cramer…

Q: 7. The general solution to the system of equations given by I1 - 12 +23 + I, = 1, 4.x, - 4x2 + 3x3 +…

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