Matrices

An image of a series of equations.

Matrices represent numbers in a rectangular array, offering an efficient way to organise and operate on complex data sets. They are widely used in fields such as engineering, where they help model structures and solve systems of equations, physics, for solving problems involving vectors and transformations, machine learning, to represent and process large datasets in algorithms, and computer graphics, for manipulating images and 3D transformations. Matrices are a powerful tool for solving equations, modelling systems, and processing data.

This resource revises Matrices and within Matrices there are 4 key concepts:

To determine if this resource will benefit you, start by answering the following questions.

  • How does organising data into rows and columns make complex information easier to analyse?
  • What types of problems can be solved using numbers arranged in a grid?
  • How can matrices be used to track changes in a system, and what might that reveal?

The answers to these questions are provided on the following pages. Use this resource to refresh your memory, reinforce your understanding of these concepts, and prepare more effectively for university-level learning.