Question 14 1 2 20 A = 0 1 2 2 1 0 Find the element of 23 of 4³.

If a, b, c, d are complex roots of x 4 + 2x 3 + 3x 2 + 4x + α = 0 and ab = cd, the value of α is ....

4. Find the modulus, Izl, and argument, 6, of the complex number. -1+i One charaes 4.6

Question 7 Determine whether b is in the column space of A. 1 2-3] A = 1 4-6, b = -2 - -3-2 5 Yes O No

ify the complex fraction priate. 1 X-3 1 3 Matlin X-3 2__

The complex number z=2eiπ/4 can also be written as z=√2i z=√2+√2i z=2+2i z=√2

Find the complex conjugate z of z1 = -1+5i. Rep k? Watch a video or use a hint. Do 4 problems Oo o o Check About

1. If z = -5√3+5i and w = -3√3-3i, find arg(zw), arg 3 (²), Arg(zw), and Arg (Z). th 2. Find and geometrically visualize all 5* roots of -16-16√3i. (You can write your answer in exponential or polar form) 3. Find all complex solutions of z4 +81 = 0

Given z = 5+9i 6-21 what is z in standard form?

Suppose a complex number z satisfies the equation (1+22)³ = eia (1 – 2)³, for some a E (T, 27). Find the complex number z and express the result in Euler's form.