Justify your answer. Say if its true or false 1.- If z1, z2 and z3 are complex numbers such that z1≠0 and |z2|≠|z3|, then         2.- Let z a complex number such that |z|≤1, then |Re(2++z3)|≤ 4

Q: #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Im Z +1=0.

A: Given equation  z-1-i  =1. Show that: z2 -2 Rez -2 Imz +1=0.

Q: Let M = - 5 -5 Find formulas for the entries of M", where n is a positive integer. (Your formulas…

A: To find the nth power of a matrix in a compact form by eigen value deconposition that is…

Q: #7. Find the four roots of the equation Z² +4=0 and use them to factor 24+4 into quadratic factors…

A: Answer:-

Q: present given complex number in polar form also find its (1+21) ¹2 (-2-√5i)"

A:

Q: Divide. -2i 2+3i Write your answer as a complex number in standard form.

A: The given complex number division -2i2+3i. We have write the number in standard form.

Q: 1. Describe and sketch each of the following sets of complex numbers: (a) 1|2z -8 0 (d) |z1|²+z+i|²…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: #6. Find the square roots of (a) 2i; (b) 1-√3 i and express them in rectangular wordinates. #7. Find…

A:

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

A:

Q: 4. Let a, b, c be complex numbers. We want to know az + bž = c (1) for the unknow complex z.…

A:

Q: B. Express in the form of a complex number x+iy 1. (2+34)+(-4+5i) 2. (3+ 2i)(3 – 31) 8+4i 3. 1-i

A:

Q: Express in the form of a complex number a + b i.i / (1 -i)

A: