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Homework 4 Fields

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[3pts] Compute and draw the corresponding vectors for the following:
(5+2i)+(-3+1i)
(-1+3i)+(1-7i)
(5-0.01i)+(4+0.01i)
[3pts] Use the First Rule of Exponentiation to express the product of two exponentials as a single exponential.
e^2i e^3i
e^(π/4)i e^(π/3)i
e^(-(π/3)i) e^(π/2)i
[4pts] Show that GF(2) is a field

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