. Find Im(2z+4z-4i), in which ž is the conjugate of z.

Q: -1 -2 -3 2 3 5 6 1 Let A = 1 Compute A-1 using adjoint.

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Q: Simplify generator of I = (x – 2y, Y – 3z, z – 4x) as ideal of R[r, y, z], respectively of J = (x –…

A: Prove that all the variables belong to I. Then conclude the value of I.

Q: the basis of P2 cons tive to B.

A: Introduction: For some n, consider V to be a subspace of Rn. A basis for V is a collection of…

Q: Find the fuaction yo of t which the so lutian of 11 64y" -36y =0 %3D

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Q: Derive the canonical form of the given parabolic PDE (b) - 3u. +64.- 3u = cos(x).

A: given 2nd order PDE -3uxx+6uxv-3uyy=cosx   ...i claim- to derive the canonical form of given PDE

Q: Y=√x, but is shifted to the right 1unit y =

A:

Q: B- If (Z₁ = (3+ i5) and Z₁ = (2- i3) By using Polar form to find Z₁x7₂ 21.01722.721° 23.01722.721°…

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Q: Prove that |z₁+z₂²= |z₁|²+ z₂², if z₁/z2 is purely imaginary.

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Q: find the generated of zy zs+Z7

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Q: If z, = 3+2). z, = 4 - 8j and z, = 2+5j , find the conjugate of: (a) z, + 22 (b) z, -z, (c) z, (d)

A: Given, z1=3+2j, z2=4-8j & z3=2+5j To find conjugate of, (a) z1+z2(b) z1-z2(c) z1z2(d) z3z2

Q: Show that 1/2 1+ 72 2 1. i%3D1 Xi n-1

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Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: O Let (eto-) is aring of complex-numberrs and M be aringof2x2 matrices aud desined as sollows. g e…

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Q: 64 if z = what is the conjugate of z %3D 24 +42 O 0.913 +0.426i O 0.913 0.426i O-0.913 0.426i…

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Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: (5). If A, B and A+B are each non-singular and the products are conformable, prove that (a). A(A +…

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Q: In Qu, finot dehrmone the numben and then find all the Conjugate g j .

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Q: Find the conjugate of z if z = (1+ 3i) + (-2-4i) O -1+i O-1-i 01+i 01- i

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Q: D = P-'AP is the Jordan canonical form of A.

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Q: If z1 = 3 + 2j , z2 = 4 − 8j, and z3= 2 + 5j find the conjugate of d) z3/z2

A: z1 = 3 + 2j , z2 = 4 − 8j, and z3= 2 + 5j first we find  z3/z2

Q: Suppose z = a+ bi, w = u + iv, and

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Q: Determine Re(z) if z = 1145x-6512yi   Sucject: complex numbers

A: We have a complex number, z = 1145x - 6512yi We know that, In a complex number  z = a + bi  , a  is…

Q: given z=1-8i and w=3+5i, find the following. a.   zw b.   conjugate of w. c.   z+w

A: Complex number

Q: If z1 = -4 - j5, z2 = -3 + j2 , and z3 = 2 - j3 , what is Re ( ? Note: z* is the complex conjugate…

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Q: express z1z2 and (z1/z2) in the form a+ib z1=-1+3i, z2=2-i

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Q: 1. Find the projection of ū = 6i + 3j + 2k onto v =i-2j-2k. %3D

A: Since you have asked multiple questions, we will solve the first question for you. To get the…

Q: If Z=1/√2+i/√2 then the value of conjugate of Z^5= ؟

A: We have z=12+i2 Now, a complex number z=a+ib can be written in polar form as: z=a+ib=rcosθ+i sinθ…

Q: Which of the following equation is symmetric with respect to z- aris and y-azis. O 2+yl=64 O z4- =64…

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Q: Express the following complex-valued Jundion zGt) = uGt)+ ivGt), where uCt) and CH) are real-valued…

A: Z(t) =(2-3i)cos(2t)-i sin(2t)  Or Z= 2cos(2t)-3icos(2t) -isin(2t)  Or Z= 2cos(2t)…

Q: Consider the following. 3 -20 -4 -5 A = -6 (a) Verify that A is diagonalizable by computing P¯'AP.…

A: Introduction: A matrix A is referred to be diagonalizable if there is a matrix P satisfying A=PDP-1.…

Q: If A is diagonalizable, then A is similar to D. Select one: O True O False

A: Given   if matrix a is diagonalizable then A is SIMILAR  to D

Q: - Derive formulation for the elements of c(m, m') modified Daniell Kernel

A: Given information: The information about modified Daniell kernel is given.

Q: Find A'A and AA". -1 1 4 A = 2 0 2 (a) ATA (Б) ААТ Which of the products are symmetric? (Select all…

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Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

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Q: In(z,) + In(-v3 – 1) = In(2) +i %3D

A: Answer

Q: Find a zero-divisor in Z,[i] = {a + bi | a, b E Z3}.

A:

Q: 1: Find Z by convolution theorem. (z- 2)

A: convolution theorem

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Is ZXZ cyclic? [Here Z means (Z, +).]

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Q: For z=1+i find the product of z and its complex conjugate zZ

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Q: polynomial in V2+i and compute the conjugates of i over Express i as a Q(/2 + i).

A: As per the question we have to express i as a polynomial in (√2 + i) and then compute its conjugate…

Q: Show that 2Z U 3Z is not a subring of Z.

A: show that 2Z∪ 3Z is not a subrings of Z:   Solution:-             Let 2∈ 2Z∪3Z…

Q: Prove that |z₁+z₂|²= |z₁|² + z₂², if z₁/z₂ is purely imaginary.

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Q: If z1 = -4 + j5, z2 = -3 + j2 , and z3 = 2 - j3 , what is the simplified form of Im (z2 · 2) ? Note:…

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Q: L Find the projection of i= i-2j- 2k onto = 6i +3j + 2k. %3D

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Q: If z1 = -4 + j5 , Z2 = -3 - j2 , and z3 = 2 - j3 , what is the simplified form of Re (z1 · z;) + z ?…

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Q: Find harmonic conjugate of u=2xy+3y

A: The objective is to find the harmonic conjugate of u=2xy+3y If v is the harmonic conjugate of u then…

Q: Use z =a +bi and w = c+di to show that z +w=z+W. To show that z + w =z+w, start with the left side.…

A: