Problem 8. Determine all 2x2 matrices A with the property that AB = BA, for every 2x2 ma- trix B.

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A: We use Gaussian Elimination method.

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A: Goldbach conjecture says that every integer greater than 5 is the sum of three primes.  

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A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: ) Consider Hhe following system ち-1 a) find the equl, brium points Hhe nonlinaar kn b) plot phase po...

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Q: 2.x1 + 3x2 + x3 – 11x4+ 4x5 = 30 5x, – 2x2 + 5x'3 – 4x4 + x5 = 36 T1 – x2 + 3x3 - 3x4 + 5x5 == 23 - ...

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A: Given the series is ∑n=1∞-1nn+132n4n+1

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Q: (b) f(x) = where A; E S™ – (det(Ao + x1A1 + ...+ xn An))/m, on {x | Ao + ¤1A1 ++xnAn > ► 0},

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Q: The table below shows a linear relationship between the values of x and y. 3 -2 -4 -5 Which of the f...

A: The values of x and y are:  x y 2 7 0 3 -2 -1 -4 -5 We will use the least-squares meth...

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Q: Calculate f 4y dydx, Where R is a region bounded by y=x² and y=-3x-2 R

A: The given question is related with double integral . Given that R is a region bounded by y=x2 and y ...

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Q: Show that if S = {v1,v2,..., Un} is an orthogonal set of vectors, then for any scalars {qjv1,a2V2, ....

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Q: 1. Determine whether the following statements are true or false. If your answer is “true", then prov...

A: A matrix is called orthogonal if the transpose of the matrix is its inverse. When a matrix is orthog...

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Q: Topic: Laplace transform Find the solution of the differential equation which satisfies the indicat...

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Q: A(x) (8,192) House Figure 1 Figure 2 Tessa has 48 ft of fencing available to construct a fence that ...

A: Given x = width and length of fencing = 48 ft let , y =  length  Therefore length of the fencing = x...

Q: 2 4 1 find A- by the cofactor method. 0 1 0 0 2. If A = 4 - 3 such websites.

A: We need to find the inverse of the given matrix using the cofactor method. First we will find the de...

Q: (-1)"n For positive integer n, let a, = 3" (a) Determine whether the sequence {a„} is convergent. (b...

A: Z n

Q: a. Which of the following subspaces of U are invariant under D? (i). , (ii). , (iii). , (iv). .

A: Given that a subspace U = cosx, sinx, x, 1 The linear map D : U →U defined as  D f x =f'x   Invarian...

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A: Solution :-

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A: Concept: First we shall find the volume of cylinder using formula, V=base area×h where h is the heig...

Q: 3.17 Supposep<1, p # 0. Show that the function 1/p f(x) = ( i=1 with dom f = R+ is concave. This inc...

A: There are three important inequalities in functional analysis. These are Cauchy-Schwarz inequality, ...

Q: 1. In the ring Z[r], let I = (r* – 8). (a) Let f(r) = 4r³ + 6x* – 2r³ +x² – 8r+3 € Z[r]. Find a poly...

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Q: Problem 7. Let A be an mxn matrix and a be a real number. Show that if aA = 0mxn; then a = 0 or A = ...

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Q: If f(x, y) = log,(cos (e* ))+ sin(x + y) then f (x, y) is ây ô x %3D

A: To determine ∂∂y∂∂xfx,y if the function is given by, fx,y=logecos2ex2+sinx+y

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A: We want to find whether natural numbers are closed under subtraction or not?  

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. xy' = y ex/y) – x

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Q: LU Factorization Method Example 2 P2 Use Cholesky's LU factorization method to solve the system 16x1...

A: Given equations are : We write a, b, c, d at place of x1, x2, x3, x4 respectively.

Q: Solve the equation by using the method of variation of parameters dy 2dy 22 + 2y = e“ csc x. dx dx2

A: Let us consider the second order differential equation y''+py'+qy=g(t) Determine the complementary ...

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Q: Choose the best definition of arc length. The angle made by taking the radius and wrapping it round ...

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Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: 3. Find the general solution to the differential equation y" – 10y/ + 25y = 75x – 80 (where y' = ) d...

A: To find- Find the general solution to the differential equation y'' - 10y' + 25y = 75x - 80 where y'...

Q: 4. Let H be a subgroup of R under addition. Let K = {2a : a € H). Prove that K is a subgroup of R' u...

A: Due to Bartleby guidelines i can only answer first question kindly upload rest question seprately Fi...

Q: (e* )) + sin(x+ y) them

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Q: = [Copy of] Radical Transformations Mary Everest Boole 16 of 23 Next Challenge #6 + In row 2, write ...

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Q: 1. Prove Theorem 2: Center is a subgroup of G. 2. Let H be a subgroup of a group G. Prove that the s...

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