Q3- Solve the following system of linear algebraic equations using Gauss- elimination and find its determinant? 0 200 300 400 500x 200 200 0 400 500 600 x 100 300 400 0 600 700x₂ 0 400 500 600 0 800 X₂ 100 500 600 700 800 X₂ 200

Q: Find a general solution. y₁ = y₁ + 2y2 + e²t Y2 = -32 +42e-2t NOTE: Write arbitrary constants as c₁,…

A: Linear differential equation  where  are functions of x or constants.Then Integrating factor (I.F.)=…

Q: c) Solve x based on the value of Determinant: 6х 1 3 = -4 1 Answer: -2/9, 1 1 х 2 22 X

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Q: Solve for A, B, C and D in the equation A B Cx + D %3D x² (x² + 1) x2 +1

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Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: Solve 1 0-²40 = 5 x (0) = - 4, y(0) = 10

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Q: Solve the below pair of simultaneous equations using determinants: 3x + y -15 = 0 2x - y - 5 = 0

A: Rewrite the equation as  3x+y=152x-y=5 write the equation in matrix form  D=312-1 find the…

Q: 2x-y-4z=-1 x-y-2z=1 x-2y-3z=-2

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Q: Consider the following pair of simultaneous equations: 6x + 4y − 14 = 0 5x − 3y − 37 = 0 (a) Show…

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Q: Let A = -2 3 1 0 -1 1 0 2 1 Then cofactor, C2,1 =

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Q: Which of the following equations has no real solutions? 3 (x² + 9) = 0 d. (x + 3)(x – 2)(x – 5)(x +…

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