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: 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: 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: 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: 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: 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: 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…