2) Show that additive inverse of any z = (x, y) E Cis unique and it equals-z = (-x, -y). Show that multiplicative inverse of any non-zero z = (x, y) E C is unique and it equals- = (u, v), where u = x² + y? v = x2 + y?

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A: this is a problem of complex analysis.

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A: Just substitute the given values of x and proof will follow.

Q: a) Show that fi (x) = cos x, f2(x) = cos 2x are orthogonal on [-7, n].

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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A: The correct answer is

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A: W need to find elements which are invertible inZ4x,y.

Q: a) Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

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Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Prove that the multiplicative inverse law is false for S. [That is, don't just write down a…

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Q: defined by ф Kerф %3D (1,-1] Kerø = {i,-i} Kero = {i,1} Kerф %3D (1,-1,1, -)

A: Option (d) is correct.

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Q: %3D Bi'

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Q: 2. Transform this LP into its DUAL counterpart. min 3x, + 2x2 - X3 subject to X1 + x2 = 5 -1 < x, <…

A: Transform this LP into its DUAL counterpart. Our problem can also be viewed as,   MIN  3x1 + 2x2 -…

Q: 2) Show that additive inverse of any z = (x, y) E C is unique and it equals-z = (-x, -y). Show that…

A: Let additive inverse of Z = (x14) E C is (a,b) Then, Z + (a,b) = (0,0) As (0,0) is identity in…

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A: Given that f(x,y,z)=xyz-x2z+yz2. We need to find : i)fxz. ii)fzz.

Q: (b) Prove that the multiplicative inverse law is false for S. [That is, don't just write down a…

A:

Q: Show that the Adam-Bashforth method 3 Yn+2 = Yn+1+hf(tn+1,Yn+ 1) – hf(tn,Un) has local truncation…

A: We have to show that the Adam-Bashforth method            yn+2=yn+1+32hftn+1, yn+1-12hftn, yn…

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A: Given that, x2 + y2 + z2 = 3xyz We have to find (del z)/(del x).

Q: 39 In Z,[x], let I = (r + x + 2). Find the multiplicative inverse of 2x + 3+I inZ.[x\/I.,

A: Given:         In Z5x , I =x2+x+2   To find multiplicative inverse of 2x+3+I is   By dividing…

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Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

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Q: two positive iontages and bare by 2, them prove that. (2° +1) is most divisible by (2²-1) let a with

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Q: Prove that the equation * + + = 1 has no solutions in positive integers x , Y, Z.

A: x/y + y/z + z/x = 1 if x , y , z are positive integers then case 1 :  If all three numbers are…

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A: Given: Determinant of a matrix A  =  1 and all the co factors are known.   To find: The matrix A.

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Q: ion Prove that for

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Q: Show that fi (x) = x, f2(x) = cos 2x are orthogonal on

A: Given that, f1(x)= x, f2(x) =cos2x and interval is [0, 90o] Wehave to find that the functions are…

Q: 5. Compute for the product of the complex coardinates :(3, 1)(3, - 1) a. (2,1) b. (1,1) c. (3,1) d.…

A: The given problem is to find the product of the given complex coordinates, We have to use product of…

Q: Prove that JI = J [1 0 0] I = |0 1 0 Lo 0 -1 2 -31 J = 4 5 -6 %3D –7 8 -9 1.

A: Considering the matrix multiplication of J and I

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A: Given that: an and bn are divergent.

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A: Differentiate wrt y.

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Q: 2. Sketch 0 in standard position if cose = 8. and deter %3D

A: Given that: cosθ=-817