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2.1 Complex Numbers

2.1 Complex Numbers. The Imaginary Unit. Complex Numbers. the set of all numbers in the form.

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2.1 Complex Numbers

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  1. 2.1 Complex Numbers

  2. The Imaginary Unit

  3. Complex Numbers the set of all numbers in the form with real numbers a and b; and i, (the imaginary unit), is called the set of complex numbers. The real number a is called the real part and the real number b, is called the imaginary part, of the complex number , then the complex number is called an imaginary number. An imaginary number in the form bi is called a pure imaginary number. If

  4. Examples 3

  5. Equality of Complex Numbers if a = c and b = d.

  6. Addition and Subtraction =

  7. Multiplying Foil and remember i*i = -1

  8. Your Turn A:-12-28i B:-4-28i C:-4-24i D:-8-20i

  9. Complex Conjugates The complex conjugate of the number a + bi is a - bi, and the complex conjugate of a - bi is a + bi. The multiplication of complex conjugates gives a real number.

  10. Division Use complex conjugates for division

  11. Principal Square Root

  12. Examples

  13. Your Turn A:9i B: 12i C: -3i D: -6i

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