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# complex operations help

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https://prnt.sc/rknawl

Mar 22, 2020

#1
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1. Modulus is equivalent to saying magnitude. The magnitude of 2-3i is equal to:

$$\sqrt{2^2+(-3)^2} = \sqrt{4 +9} = \sqrt{13}$$

2. Multiplying 2-3i by 2 makes it 4 -6i. Doing the same thing as the first problem, the modulus is equivalent to:

$$\sqrt{4^2+(-6)^2} = \sqrt{16 +36} = \sqrt{52} = 2\sqrt13$$

3. Multiplying a complex number, a+bi, by a real number, c, will turn it into ac + bci. This is just a scalar of the original complex number. (it's the original multiplied by a factor)

Mar 22, 2020
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Nice, jfan!!

CalTheGreat  Mar 22, 2020