Consider the matrix B= 10 0 a 4 1 4 say for which values of alpha matrix B does not admit inverse

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A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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A: Givenf:R→R, f(x)=∑n=1∞sin(nx)n2We will use the following concepts to prove the…

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A: The matrix  has eigenvalue  with eigenvector  amd eigenvalue  with eigenvector .Forming the matrix ,…

Q: Problem 3. Let u be a smooth solution of Lu aªÏ µij V = |Vu|²+ Au². Show that Lv ≥ 0 in № if λ is…

A: To show that in for sufficiently large let's compute :Now, since is a smooth solution of , the…

Q: |||| = u = = Find the norm of x and the unit vector u in the direction of x if 1 -A 4 = -5 18 ||

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Q: In Exercises 1-6, list the minor matrix Mij, and calcu- late the cofactor A¡j = (-1)i+j det(Mij) for…

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Q: theorem

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Q: 1. (1) Show by hand¹ that 2 is a primitive root mod 19. (ii) Find² a complete set of primitive roots…

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A: Since you posted more than 3 subparts, according to guidelines we can solve only first three…

Q: 306 3. ³ [34] 1-1 [B] 3 5. 7. 9. 11. -6-1 2 320 -14 -2 5 31-1 -12 0 5 4-2-1 24 4 1-1 3 4. 13-16 9-11…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…

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Q: Use Green's theorem for circulation to evaluate the line integral 17. dr. F. 7 = ((xy² + 9x), (2x +…

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Q: 5 The matrix A= -2 7 0 has eigenvalues A₁ = 2 and A₂ = 3. An eigenvector for 2 is = 2 1 -2 3 [-2 10…

A: (.) Given matrix is,            Matrix  has eigen values  and . An eigen vector for  is and  has…

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Q: (a) Number (b) Number (c) Number i i Units Units Units < <

A: i) Change in momentum/second=m=5*10-3  kgnumber of bullets n=278v=0 m/su=977 m/st=13.9 s

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Q: 2. Let E be the set of all x € [0, 1] whose decimal expansion contains only the digits 2 and 8. Is E…

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Q: 2. Let n₁,..., nk be pairwise relatively prime positive integers, and let n = n₁ ... nk. Recall we…

A: this is also famous known as the chinese remainder theorem

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: In Problems 7, 8, 9, and 10 the independent variable x is missing in the given differential…

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Q: 3) Develop cubic splines for the data given below and 1 2 3 5 f(x) 3 6 19 99 (a) Predict f (6) and…

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Q: Let f: R → R be defined by f(x) = (x, 2x², -6x). Is ja linear transformation? a. f(x + y) = f(x) +…

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