a) Express the complex number (5-2i) in the form a +bż b) Epress the complex number be low in the formm a+bi- 7+4i i (6-si) C) You have been given the following matrix. A = 3-2i 2 -3 ¿ 2+4i let B=A". Find Bz1' decimals in do not include, your answers!

Q: Find the product of the two complex numbers. 21 = 3 (cos 10 +i sin 10") and zg=-2(cos 35" +i sin…

A: Given: x1=3(cos 10°+i sin10°) and x2=-2(cos 35°+i sin 35°)

Q: If a complex number z satisfies z = z-1, what can be said about the number? Are con Nay/ Say that…

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Q: Find the root's 51 of Complex equation:

A: Given:      5√(-1)

Q: Determine the imaginary part

A: In this question, we have to find the imaginary part of the given complex number.

Q: Divide the following complex numbers: (ComplexNumber)1 (ComplexNumber)2 1. (ComplexNumber)1: Real X1…

A: given that

Q: Pleasantly, when we multiply a complex number z = a + bi by its complex conjugate z, we get a real…

A: 1+4i5-3i=1+4i5-3i*5+3i5+3i1+4i5-3i=(1+4i)(5+3i)52-(3i)21+4i5-3i=(5+3i+20i+12i2)25-9i21+4i5-3i=5+3i+2…

Q: In(2) The complex number e is equivalent to a) ji b) (1+j} c) 1+ j d) 1- j

A: According to the problem, we have

Q: Change the Complex Number Z = 4|120'in to Rectangular formal. %3D

A: according to our guideline we are supposed to answer only the first question if you want any…

Q: Find all solutions of the following equationsa a)z/1-z=1-5i   b) (2-i)z+8z^2=0.  c)z^4-16=0

A: a). z1-z = 1 - 5i⇒ z = (1-5i)(1-z)⇒ z = 1 - z - 5i + 5iz⇒ (2 - 5i)z = 1-5i⇒ z = 1-5i2-5i

Q: 1. Solve the following equations. a) (7+2/)+(4-3) b) (5-2/ (2-)(4+2) d) 2- 1+2 e) 21-3 2. Find x in…

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Q: Express -24-11j 4-5j as a complex number in the form A + Bj. Further, move the red dot in the graph…

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Q: 10+201 2 3+ 4i (10+5i)(16-201)

A:

Q: 8. a) Find in the form a + bi, where a and b are real, the values of Z for which 3 ii) Z 1 i) /zl=3…

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

Q: 18 Given the complex number z = i, £$=:(2)" = A 1+i -i C -1 +i D -1

A: Topic : complex number

Q: Find all complex numbers z such that 2²=-12+16i, and give your answer in the form a+bi. Use the…

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Q: You have complex numbers Z₁ = e³-14, z2 = √√3+2i, 23 = = 3-1/2/³ 1. Write Z₁ in classical form z = x…

A: z1=e3-iπ4z2=3+2iz3=35-i32

Q: The set of all complex number z in the complex plane satisfying Im(z^2)=2 is a a. straight line b.…

A: The set of all complex numbers z in the complex plane is satisfying

Q: iii) How are the complex numbers z1 and zz related if arg(z1) = arg(z2)? Buildup examples for this…

A: Given: z1,z2 are two complex numbers such that argz1=argz2, To find: The relation between z1 and z2,…

Q: If a complex number z satisfies z2* = 2-1, what can be said about the number? if the fonrepleziott å…

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Q: 2. Express the following complex numbers in the form a + bi: (a) (2+3i)(4+i) (b) (8+6)² (c) (1 + ₁…

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Q: Plot the complex number. 6/6 - i Imaginary Imaginary axis axis 20 20 10 10 Real Rea – 20_ – 10 axis…

A: To plot and write the trigonometric form of the complex number

Q: 32. Evaluate (2i)' and express the result in rectangular form of complex number. A) 0.350 + 0.187i…

A: Given that (2i)i We need to express the given complex number of the form of x + iy

Q: a

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Q: Assuming either 121=1 Prove that Z-W 1-ZW or /w/=1 and Zw=1. = 1.

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Q: Use DeMovier's Theorem to simplify the complex number ( 3 + 2i). Report below the complex number in…

A: Here we will use DeMovier's Theorem to simplify the complex number (3+2i)^5.

Q: Plot the complex numbers 6-i and -5+3/ in the complex plane. EXHIMINERINGE -S 7 -5 -5 -4 -3 -2 -1…

A: We are required to: Plot the complex numbers 6-i and -5+3i in the complex plane.

Q: 6) Making use of the tables for the field Fs in exercise 5, find the solution to the linear equation…

A: 6. we have to solve the linear equation 3x+2=4, where the coefficients of this equation are…