Complex Numbers

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Understanding Complex Numbers Arithmetic and Details

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<p>What is the complex number </p>

What is the complex number

1

2
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<p>What is the complex number </p>

What is the complex number

-1

3
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<p>What is the complex number </p>

What is the complex number

<p></p>
4
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<p>What is the complex number </p>

What is the complex number

-negative J

<p>-negative J</p>
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<p>What is the magnitude of a complex number</p>

What is the magnitude of a complex number

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any complex exponential had magnitude one

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<p>What is the value of </p>

What is the value of

That would be the conjugate

So for a negative theta:
cos(theta) jsin(theta)

<p>That would be the conjugate</p><p>So for a negative theta:<br>cos(theta) jsin(theta)</p>
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Explain Complex Arithmetic (Addition & Subtraction)

This is easier in Cartesian form:

Compute the real parts and imaginary parts respectively

<p>This is easier in Cartesian form:<br><br>Compute the real parts and imaginary parts respectively </p>
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Explain Complex Arithmetic (Multiplication & Division)

This is easier in Exponential form:

Laws of exponential and compute the magnitude

<p>This is easier in Exponential form:<br><br>Laws of exponential and compute the magnitude </p>
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Explain the Real and Imaginary part of complex numbers and computation

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j² is?

-1