Introduction to Indices. Definitions. Multiplication and Division of Indices

Demonstration of the principle of solving a system of linear equations using Gaussian Elimination, with reference to a specific example with 3 equations and 3 unknowns where there is a unique solution.

An example that works through the process of Gaussian elimination for a system with three equations in three unknowns where are no solutions.

An example that works through the process of Gaussian elimination for a system with three equations in three unknowns where there are an infinite number of solutions and the final answer is hence written in terms of a parameter t.

Worked example shows how to solve equations involving fractions

Example of finding the determinant of a 3x3 matrix by hand, together with explanation of the general method

An example of using a truth table to determine a Boolean expression to represent a switching circuit, given certain specified conditions as to when current will flow through the circuit

This screencast first gives the general form of Cramer's Rule for solving three equations in three unknowns and then covers a specific example to demonstrate the rule

This screencast first gives the general form of Cramer's Rule for solving two equations in two unknowns and then covers a specific example to demonstrate the rule

Worked example showing how to remove brackets of the form a(b+c)