Diagonalize the following matrix, if possible. 10 1

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Q: . Let G be a group of order 425. Prove that if ubgroup of order 17 in G then H<Z(G). H is a normal

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Q: Set A 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: (a) Find the general solution of the given system of equations. x = (; )* 1 -2 3 -4 () x(t) = c1 +c2…

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Q: QUESTION 2 The value of keid where b41 by using the two-point Gauss quadrature method of integrafion…

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A: Consider the groups groups     A = {0}    B = {0, 2, 4}    C = {0, 1, 2, 3, 4, 5} In each case the…

Q: of the following Is the fundamental solution matrix for the coefficient i ? 1

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Q: Write a polynomial function for the following conditions 1) degree 2, leading coefficient 5,…

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Q: . Let G be a group of order 425. Prove that if H is a normal ubgroup of order 17 in G then H <Z(G).

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Q: (5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or…

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Q: Q1/ Find the root of the function by (Itration methad). 2. Xo= accu-o0et

A: We have the formula for Newton's method

Q: Let f : R → R³ be the linear transformation determined by () 3 -4 4 4. a. Find f ()- b. Find the…

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Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

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Q: if a vector space is the set of real valued continuous functions over R , then show that the set W…

A: Given V is a vector space of all continuous functions over ℝ. W is a set of differential equation…

Q: In how many different ways can the letters of the word “CORPORATION” be arranged so that the vowels…

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Q: 9. Suppose B is an n xn matrix. Show that there must be a nonzero poly- nomial p € Pn: such that…

A: For the solution of the problem follow the next step.

Q: (a) Find the general solution of the given system of equations. )= :). 5 -9 x': 2 -4

A: Introduction: The system of differential equation is represented as x'=Ax This system is homogeneous…

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A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the solution. dy x-+5y=2x?y+ dx

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Q: Let A E M47. If b E col(A), how many solutions does Ax = b have? a. 1 b. 6 С. 3 d. 2 е. 4 f. 7 g.…

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Q: Question 3 In F,[x]/(x+ 2x + 2). perform factorization of the modulus. For each of the congruence…

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Q: 3. Let f(r) = 1+r+r* +r "ind T3(r), the Taylor polynomial of f at r = 0 with degree 3 by using the…

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Q: 4.7 Use the EBM and R to estimate the lunar surface temperature at lunar latitude 30° North and at…

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Q: A builder announces sale of flats for Rs. 30,00,000 cash or for Rs. 10,31,600 cash down payment and…

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Q: 2. Determine which of the following is a subspace of R". (a) {(x1,x2,...X) 1 x = 0} (b) {(x1,…

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Q: MATHEMATICS Direction: Read the problem. Analyze then solve for the correct answer. Then, draw the…

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A: To solve this problem you need to know the following : 1 yard = 3 foot .

Q: 11. Let A be an m xn matrix and let S be the set of vectors consisting of the rows of A. (a) Use the…

A: Given A be an m×n matrix and S be the set of vector consisting rows of A (a) we have to show…

Q: Express each answer to three decimal places. a) ?^? = ?? b) (5.4)x = 234

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: North and at 3:00 PM, lunar local time. Hint: The 12:00 PM noon for a lunar location is when the…

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Q: Find the equation c ertex (-4, 0) and fo

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Arssange the given data in Ascend ing oodel ; 2 = 2, 86 86, 89, 87, 88, 90, 94, S, 97 .. Heee, n =…

A: Given data is x=2, 86, 86, 87, 87, 88, 90, 94, 95, 97 We have to find the median of the given data.…

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Q: Find f(t). s(s + 1).

A: L-1[F(s−a)]=eatf(t) From first shifting property, L{e^(at)*F(t)} = f(s-a)…

Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

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Q: 4. [3 2 - 1 4 ][- 510 6]= (- 15 + 2 – 0 + 24) = (11)

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Q: (D5 - 2D3 - 2D2- 3D - 2)y = 0. Auxiliary equation and general equation

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Q: R: Given the IBup +20 t so y (x.o) solve for u(xot). 0, Y (X, o) = fG)s o<XcL

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Q: 3. A nonlinear system is defined by the following state space model: dx;(t) = -x,(t) + xż(t) dt dra…

A: As per the question we have a nonlinear dynamic system, and we have to determine its Lyapunov…