A have the set consisting of the complex numbers ##1 + 3r \cos \theta - i r \sin \theta##, where ## r \in [0,1]## and ##\theta## may vary between ##0## and ##2 \pi##.(adsbygoogle = window.adsbygoogle || []).push({});

This is my first encounter with mathematica, and am having difficulty discerning between the methods I have found online which would best suite my purpose (actually, I am not sure any of ones I have found would work). So, what would be the best way? Should I generate a list of all those complex numbers of the form mentioned above, and then plot the list? If so, would someone mind directing me to an online resource on how exactly to do this? Or is there some better method?

Also, I would like to plot the eigenvalues of the matrix ##\begin{bmatrix} 1 & 2 \\ 1 & 1 \\ \end{bmatrix}## So, how would I plot these simultaneously?

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# Mathematica Plotting A Set of Points in Mathematica

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