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Key Concepts
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1. Imaginary Unit i
The unit i is defined as √-1, such that i² = -1, i³ = -i, i⁴ = 1.
2. Standard Form
A complex number is written as z = a + bi, where a is the real part and b is the imaginary part.
3. Operations
- Modulus: |z| = √(a² + b²)
- Conjugate: z̄ = a - bi
- Addition: (a + bi) + (c + di) = (a+c) + (b+d)i
Multiplication uses the FOIL method and substitute i² = -1.