Solve the following system of IVP: [3 -1 0] 7 x' = Ax where A = 4 -2 0 and x(0) = |10 [4 -4 2] Hint: The eigenvalues are 11 = -1, 12 = 2, 23 = 2. 2

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Q: Q4) Solve the boundary value problem y -- 3y' + 2y = 0 with y'(1) = 1, y(3) = 2e* - e? h = 0.5 %3D

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Q: Ex.2. Let t: R3 → R³ be a linear transformation such that, t (a, b, c) = (3a + c, - 2a + b, - a+ 2b+…

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Q: X1 + 2x2 + 3x3 = 4 4x1 + 5x2 + 6x3 = 10 7x1 + 8x2 + 9x3 = 14 %3D PLEASE SHOW THE MATHLAB CODE…

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Q: 4. Using laws of set theory aided by two-column proof, show that AU(B – C) = (AU B) – (C – A). | |

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Q: 10. Particular solution of y" – 64y = 16, when x = 0, y = 1, y' = 0 %3D

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Q: 3. Using Gauss - Jordan Elimination a.x + 3y + 2z=2 b.2x + 7y + 7z=-1 c.2x + 5y + 2z= 7

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Q: 1 3 1 2 2 A = 2 3 1 B =1 4 2 2 1 5 -1 B = 4 -1 h) A = -1 2 1 -2 0 - 3 3 8 -2 1 4 A =| 4 1 B =2 5 2 3…

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Q: 4. Using laws of set theory aided by two-column proof, show that AU (B – C) = (AU B) – (C – A). %3D

A: Solution As we know A-B = A ∩ Bc

Q: II. Let U = R = {x €R|x* - 14x + 45x = 0} J= {x €R]x* 2}. I = %3D Find the following. All infinite…

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Q: II. Let U = R = {x €R|x³ – 14x³ - 1={x €R]x* 2}. + 45x = Find the following. All infinite sets…

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Q: II. Let U = R I = {x € R|x° – 14x³ + 45x = ( J = {x €R|x° 2}. Find the following. All infinite sets…

A: I={-3,-5,0,5,3} We have I={x∈ℝ|x5-14x3+45x=0} Solve for x in  x5-14x3+45x=0 We get I={-3,-5,0,5,3}…

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Q: 32 The points A, B and C have coordinates (2, -5), (5, 9) and (-9, 12) respectively. (a) Find the…

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