Complex Arithmetic: Sums, Products (ac − bd, ad + bc) and Division by the Conjugate
This lesson is part of the course
In this lesson
You add, multiply and divide four pairs of complex numbers part by part, so every result is again a real column and an imaginary column.
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Lessons in this course
- The Complex Plane: Real & Imaginary Columns, Quadrants and Conjugates Locked
- Complex Arithmetic: Sums, Products (ac − bd, ad + bc) and Division by the Conjugate Locked
- Modulus & Argument: Distances, ATAN with a Quadrant Correction, Degrees vs Radians Locked
- Polar Form: r(cos θ + i sin θ), Multiplying Moduli and Adding Angles Locked
- Powers & Roots: De Moivre's Rule, n-th Roots and the Roots of Unity Locked
- Rotations & Scaling: Multiplying a Shape by a Complex Number Locked
- Quadratic Equations: Negative Discriminants, Complex Root Pairs and Checking by Substitution Locked
- AC Phasors: Impedance R + jX in Series and Parallel, Current Magnitude and Phase Angle Locked