Why Learn Mathematics?

"Matrices are not always just “boxes of numbers”. Each matrix can represent an action or relationship, and multiplying matrices lets you chain those actions. That is why the order matters. Think of stacking transformations: rotate, then stretch, then shift, and you get a different result than doing them in a different order.

You see this everywhere. In computer graphics and games you use matrices to move a camera, rotate a model, and project a 3D scene onto a 2D screen. In robotics and AR you combine rotations and translations to control position. In navigation you change between coordinate systems to work out where you are.

Data and AI also rely on matrices. Recommender systems, simple neural networks, and compressed image storage all involve multiplying matrices to combine lots of numbers efficiently. In probability, transition matrices model systems that move from one state to another, such as weather or queues.

Mathematically, matrices are a compact way to solve many simultaneous equations at once. If you can work confidently with A times B, you are preparing for topics like linear transformations, eigenvalues, and change of basis that appear in A level Maths and Further Maths, and in university courses such as engineering, computer science, economics, and physics.

Learning to multiply matrices builds useful habits: checking dimensions, planning the order of operations, and spotting errors early. You practise methodical working, attention to detail, and a clear row by column strategy. These are the same habits that make you faster and more accurate in exams.

This exercise lets you build confidence step by step with instant feedback. A few tips: always write down the sizes first and check the inner numbers match, pick a row from the left matrix and a column from the right, then take the dot product. Keep your working neat, estimate when you can to sense-check answers, and celebrate small speed gains.

If you stick with it, you will be able to break down complex problems into simple moves and recombine them quickly. That is a powerful skill, and it will save you time in your course work, your exams, and whatever technical subject you choose next.

Maths is an Adventure

"Embarking on the journey of mathematics is like unlocking a series of doors, each leading to rooms filled with wonder and possibility. With every new concept you master, you gain the key to yet another door, expanding the horizon of your understanding. This is not just learning; it's an adventure where each step enhances your ability to reach heights unknown and to explore realms of thought that once seemed out of reach. You're not just studying numbers and theories; you're building a tower of knowledge from which you can see the world in ways you never imagined."

Earn More Money

Here is an interesting fact from the 2021 "GCSE Attainment Lifetime Earnings" research report, commissioned by the DfE: Studying Maths can boost your earning potential. Strong maths skills can open up a wider range of career options, which are often more lucrative. The report states, "There is wide variation in the marginal grade returns by individual GCSE subjects. A one-grade improvement in Maths is associated with a discounted return of £14,500 whereas in English the return is £7,300 and in Music it is £5,500." Note that English and Music are also instrumental in improving your quality of life in other ways.

National curriculum in England

"Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject."

The Language of Mathematics

"Learning mathematics is akin to learning a powerful language—the language of the universe. Just as poets use words to express the inexpressible, mathematicians use numbers to explain the inexplicable. Each new topic you learn is like a word, a sentence, a verse that adds to your ability to articulate and comprehend the poetry of patterns, the rhythm of reason. You're not just memorising formulas; you're becoming fluent in the dialect of discovery, capable of conversing with the cosmos."

Careers

A strong background in mathematics is vital for many careers, particularly those in sciences, technology, engineering, finance, and data analysis. Here's a list of 20 popular jobs where a solid understanding of mathematics is important:

The Music of Life

"In the grand symphony of knowledge, mathematics is the melody that resonates through every domain of human endeavour. Each theorem and formula you learn is a note, a chord, a harmony that enriches your ability to understand and contribute to the world. You're not just studying to pass a test; you're tuning your mind to the frequency of innovation, enabling you to compose the future's most transformative tunes."

Maths is a Journey

"Consider yourself a mathematical explorer, setting sail on the vast ocean of the intellect. Each concept you grasp is a new star in your sky, guiding you to distant horizons and undiscovered worlds. This journey is about more than just navigating through homework; it's about charting a course to your dreams. With every new idea, you're not just learning; you're discovering the maps that will guide you to treasures more valuable than gold: wisdom, insight, and the power to change the world."

The original quote was heard on the wonderful Mr Barton's Podcast

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