Question

In: Advanced Math

Hi, can you please verify with the basic code of a beginner MATLAB user, and try...

Hi, can you please verify with the basic code of a beginner MATLAB user, and try explaining how to approach if possible. Thanks a lot! :)

1. Answer the following questions regarding complex numbers. You must provide all handwritten working and MATLAB code/outputs for the problems below.

(a) Express the complex number w = √ 3+i in complex exponential form. (Provide a handwritten solution)

(b) (1 mark) Use MATLAB to check your answer for part (a) by calculating the length and argument of w. (Provide your MATLAB code/outputs)

(c) Find all solutions to z^5 = √ 3 + i. (Provide a handwritten solution)

(d) Use MATLAB to plot the solutions found above. The solutions must be plotted on the same figure. (Provide you MATLAB code/outputs) (e) What do you notice about the solutions in the plot? (Provide a handwritten solution)

Expert Solution

a)

b) Matlab Code:

Ouput:

c)

d)

Matlab Code:

z=[1.14240+0.1201i, 0.2388+1.1236i, -0.9948+0.5743i, -0.8536-0.7686i, 0.4672-1.0494i]
plot(z,'*r')
grid on

Output:

Colby Messinger answered 1 year ago

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