Imaginary and Complex Numbers

Multiplying Complex Numbers

Complex Conjugation

Roots of Quadratic Equations

Solving Cubic and Quartic Equations

Roots of a Quadratic Equation

Roots of a Cubic Equation

Roots of a Quartic Equation

Expressions Relating to the Roots of a Polynominal

Linear Transformations of Roots

Linear Transformations in Two Dimensions

Reflections and Rotations

Enlargement and Stretches

Successive Transformations

Linear Transformations in Three Dimensions

The Inverse of a Linear Transformation

Argand Diagrams

Modulus and Argument

Modulus-Argument form of Complex Numbers

Loci in the Argand Diagram

Regions in the Argand Diagram

Volumes of Revolution Around the x-axis

Volumes of Revolution Around the y-axis

Adding and Subtracting Volumes

Modelling with Volumes of Revolution

Sums of Natural Numbers

Sums of Squares and Cubes

Introduction to Matrices

Matrix Multiplication

Determinants

Inverting a 2 x 2 Matrix

Inverting a 3 x 3 Matrix

Solving Systems of Equations Using Matrices

XYZ

Index Laws

Solve

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