[1 2 2 5 4 1 Let A = 7 7 3 -1 a) Find A using the cofactor method. b) Use the results of part a to solve the following system: 21 + 2x2 + 2x3 = 2 5x1 + 4x2 + x3 = - 3 7x1 + 7x2 + 3a3 = 1

Q: Exercise 1.4.19 Solve the system of equations 9x-2y+4z=-17, 13x-3y+6z=-25, and -2x-z = 3.

A: The given system of equations

Q: Solve the system by using the inverse, and verify by Cramer's Rule. 4) 4x1 + 2x2 = -8 2x1 + 9x2 = 12

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Q: 5ab(for 3a), 6(for 3a), 7(for 3a), 14(for 3a)

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Q: Q1) solve the system Ax=b by using LU factorization. A= [8 8 6 3] [3 1 7 1] [7 6 7 4] [9 6 1 8]…

A: We solve given system by LU decomposition.

Q: Q5) Test the completely state controllable for the following system: * = [₂²][²²]+] ₁² น 2

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Q: Q-2: [1 0 2 1 1 [1 -21 and B: [1 a) Let A 1 1 If possible, compute A + BT and [i 1 -1] 3 ВТА. X1 +…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the values that make the equations x1 + x2 + 3x3 = 3 x1 + 2x2 + 4x3 = 3 x1 + 3x2 + ax3 = b…

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Q: x₁ + 2x₂ + 3x3 = 6 2x13x2 + 2x3 = 14 3x₁ + x₂x3 = -2

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Q: 1 3.x1 – x2 + 4 — 2х1 + 3х3 — 5x4 plve the system linear equations -7 - | X2 + x4 0.

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Q: x1 + 2x2 + 3x3 = 6 2х1 - 3x2 + 2x3 = 14 3x1 +x2-x3 =-2

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Q: Answer the following using Jacobi Method. Show complete solutions. The answer should have atleast 5…

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Q: 5-7. Solve the following systems of equations algebraically. Show all of your steps. a.) x+y33 x…

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Q: Solve the following system of equations by Jacobi and Seidel 4x1+2x2+x3=14 x1+5x2-x3=10…

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Q: Suppose you want to interpolate the points (−1, −3), (0, 0) and (1, 3) by a polynomial. (a) What…

A: Given                                 t = x                                       y -1 -3 0 0…

Q: Answer the following using Jacobi Method. Show complete solutions. Answer should have atleast 5…

A: here we consider x1=x, x2=y, x3 =z  So equation become

Q: a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 a + 2b +c = 1 using, a. Cramer's Rule

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Q: 1) Using the Gauss elimination technique, find values of a and b with which the following system of…

A: Solution is given by using Gaussian elimination method as follows

Q: Consider the following system of equations: 3x + 2y = −12, −x + 4y = 7 (a) Solve the system using…

A: Use the procedure of both rules one by one to solve the given system as in next step.

Q: x1 + 2x2 + 3x3 = 6 2х1 - 3х2 + 2x3 = 14 3x1 +x2-x3 =-2

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Q: Use Cramer's rule to compute the solution of the system. 5x₁ + 2x₂ = 19 4x₁ + 6x₂ = 24 What is the…

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Q: Find the solution of the following system - 2+2rg = 1 3r1 + 2 - 13 = 0 21 + 2r2 + 3 = -1 with using…

A: We will find solution by cramer's method as follows

Q: (a). Define Linear Algebra and discuss any ten of its applications in Mechanical Engineering. (b)…

A: See the attachment

Q: 2.x1 – x2 + x3 = 6 x1 + 5x2 – x3 = -4 5л1 — Зх2 + 2^'з — 15 Solve the system of linear equations…

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Q: Solve the system of equations by using Cramer's Rule. 3x + 2y + 4z = 3 x+ y +z= 2 2x - y + 3z =-3…

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Q: Solue system using augmented matrisc M: X, + 2xz -3x3-2xy +4><5=1 2x, + 5x2 -8x3 -)C4t Gocs =4 +…

A: x1+2x2 -3x3- 2x4 +4x5 = 1x1+5x2 -8x3- x4 +6x5 = 4x1+4x2 -7x3- 5x4 +2x5 =5

Q: x₁ + 2x₂ + 3x3 = 6 2x13x2 + 2x3 = 14 3x₁ + x₂ - x₂ = -2

A: We have to solve the given system of equations using Cramer's rule.

Q: Find the LU factorization of A [3 A = 21 = x2 = 3 and use it to solve the system J=[ -19] -21 (88)…

A: Given A=3-43-6 and 3-43-6x1x2=-19-21

Q: (c) Determine the definiteness of the quadratic form q(x) = xỉ + 2V6x1x2 + 2x3 %3D

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution is attachedExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Use Cramer's rule to compute the solution of the system. 6x₁ + 4x₂ + 2x3 = 6 2X1 + 3x3 = 4 - 2x1 +…

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Q: 3. If possible, use Cramer's rule to solve the system. 2x1 - 3x2 11 5x1 + 7x2 = 14 %3D %3D

A: 3. Cramer's Rule: Given system of equation how to find the solution of system using Cramer's Rule.…

Q: (12x+2z+5y-3w=-657 2w+3x+12y + 5z = 164 25z+4x+5y+14w=77 8z+5x+10y+25w = 88

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