The given vector functions are solutions to the system x'(t) = Ax(t). X 8. Determine w he vecton functions form a fundamental solution set. Select the correct choice below and fill in the answer box(es) to complete your choice. O A. No, the vector functions do not form a fundamental solution set because the Wronskian is O B. Yes, the vector functions form a fundamental solution set because the Wronskian.is The fundamental matrix for the system is State the general solution to the system x (t)= Ax1) Select the correct choice below and, if necessary, fill in the answer box to.complete your choice O A. The general solution is x(t) O B. A general solution does not exist

Q: 2. In the linear system Ar = b, 1 2 A = 2 6 0 27 (a) Show that x = be a solution of the linear…

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Q: X'= -13 -17 -2 10 14 - 10 - 10 - 13 - 17 -2 10 14 2x₁ - 3t H 2 x; x₁ = e 2 Flicid 11 3 -2, X₂ = e²¹…

A: If  are the solution of Then it must satisfy the sytem.

Q: 3. For the model y = XB + ε,, B = [Bo] B₁ B₂ LB3J Ho: 200-3B1 + B₂ = 5B₂-B0-2B3 Find matrix C to…

A: Given that,  H0: 2β0-3β1+β2 = 5β2-β0-2β3= β3+2β1= 0

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A: The general upper triangular matrix of order 3×3 matrix is abc0de00f .

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Q: (d) Is {v1, 02, T3, 74} a basis for R4? Why?

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Q: 7. Given the linear system of equations belows 3z-2y+z 9 2+2y-2 I + 2y- 4z =-2 -5 Use Cramer's rule…

A: Use crammer rule

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Q: 1)The following linear system of equationsis given.x, yand zare unknowns. 2z + y − x = 5 2x + 3y +…

A: Step:-1 Given system is -x+y+2z=52x+3y+4z=-14x+y +0z=-11The  coefficient matrix is-112234410 xyz…

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Q: 1. Use Cramer' rule to solve the given systems of equations. a. 12x + 3y = 15 b. x-3y +7z=13 2x - 3y…

A: By using Cramer's rule to solve the given system of equations. (a)  12x+3y=152x-3y=13 (b)…

Q: 2. Use Gauss-Jordan method to find the general solution of the linear system whose augmented…

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Q: 3i3 + 3i1 – 5iz = 7.5 i2 – 7i3 + 2i1 =- 17.5 - 10iz + 4iz + 5i3 = 16 - 1. Write the above system of…

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Q: 15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 21 -1)

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Q: 1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

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Q: 5. Let T: R2 R be defined by [x1 +2x2 T a. Find the matrix [T]B.B relative to the bases B = {u,, u}…

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Q: Verify that the vector functions?

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Q: Show the complete solutions. 1. Represent the equation as an Augmented Matrix 3x+2y+z=8 4x-3y+3z=7…

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Q: -dx₁ (t) dt dx₂ (t) dt 3x₁ (t) + x₂(t)- 2x3(t) — = -x₁ (t) + 2x₂(t) + 2x3 (

A: Given system can be written as  x1'x2'x3'=31-2-122001x1x2x3+-102ut

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Q: 16 Let the parameter solution of an equation Az 3.ER, is given by %3D 8 11+ 1 I3+ 3 I5. 4 5. Then…

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Q: 1. Let a₁ = [B]₁ Also, let A = [a]. Show how the equation Ax=b, is equivalent to finding the scalars…

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Q: Show that the given functions are solutions of the system x'(t) = A(x)x(1) for the given matrix A.…

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Q: Reduce the following matrix A to a diagonal form (A') by integer row and column operations and…

A: Given matrix is  A=31−42−31−46−2 To reduce the matrix A to a diagonal matrix A' by integer row and…