mework(1): Using Cayley – Hamilton theorem to fined A", A" A 2 1 2 1 A=| 0 2 3 A= 0 -1 1 6. 0 05 2 0

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Q: (a) Consider the real linear map T:R' - R', expressed as follows: X1 + 2x2 - x3 4x1 + 9x2 - x3 1 2…

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Q: II. Calculate the determinants of the matrices using the cofactor method. 1 1 01 3 1 1 b. -1 0 3 1 3…

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Q: 1- Solve the problem P.D.E. u, = uxx + sin(nx) + sin(2nx) fu(0, t) = 0 lu(1,t) = 0 u(x, 0) = 0 0 <x…

A: Solution

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A: If we want to integrate f(x,y,z) over the region R. Under the transformation x=g(u,v,w), y=h(u,v,w),…

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Q: er the ideals I = (x, y²) and J = (x- 2y) in Qlr, y)- %3D %3D

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Q: consistent 9. Consider the m-by-n linear system [A | b], where RREF[A | b] has exactly r pivots.…

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Q: the choices. Please show complete solution. ABC is a right triangle at B. the point D lies on BC,…

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Q: Let F(x, y, z) = 4z²ei+ (y³ + tan(z))j+ (4x²z – 3y²)k. Use the Divergence Theorem to evaluate f, F .…

A: Given,       F(x, y, z)=4z2xi+43y3+tan(z)j+(4x2z-3y2)k use the divergence theorem to evaluate…

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Q: *(u pou) q. Therefore, the solutions are those integers x such that x = a (m)-1b (mod m). Example…

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Q: Solve the differential equation below using series methods. (- 82? – 4)y" – 8æy = 0, y(0) = - 7,…

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Q: nsider the ideals I= (x,y) and J = (x- 2y) in Q[x, y). ad VI, %3D %3D

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A: The solution is below.

Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

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Q: sod ue pui-'t have found all solutions. b) 2 c) 3 d) 4 5. Find all positive integers n such that (n)…

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Q: OT ANSWER I

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Q: Brad decides to purchase a $200,000$⁢200,000 house. He wants to finance the entire balance. He has…

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Q: 10 [1] Find the coefficient of the term involving x* in the expansion of (3x - a. -262444 b. -262440…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We will have to find the volume of the solid that results when the shaded region is revolved about…

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A: Given,A is an enumerable set.To prove that if A is an enumerable set, then it is also countable with…

Q: Solve the differential equation below using series methods. (- 82? – 4)y" – 8æy = 0, y(0) = - 7,…

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Q: Consider the system i1 = x – 2.x1x2 and i2 = –x2+ xỉ %3D a. Find the first few terms in the power…

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