Matrices and determinants
What matrices and determinants means
You work with small rectangular arrays of numbers and practise combining them correctly. This helps you handle algebraic methods used in many later maths topics and in entry tests.
What you will practise
- Add two 2×2 matrices by matching positions
- Multiply 2×2 matrices using row and column entries
- Find determinants of 2×2 matrices with the cross-product rule
- Identify the order of a matrix from its rows and columns
Before you start
You should already be comfortable with basic arithmetic, especially multiplication and subtraction. It also helps if you can recognise rows and columns in a table of numbers.
Not confident yet? Work through Differentiation first.
Worked example
One question from this skill's own question bank, shown with its full working.
The determinant of [[2, 3], [1, 4]] is…
- 5
- 8
- 11
- 2
Working: det = (2×4) − (3×1) = 8 − 3 = 5.
Common mistakes to avoid
- Adding all numbers together instead of matching entries in the same position.
- Swapping rows and columns when stating the order of a matrix.
- Using the wrong values when finding a determinant, so check the diagonal pairs carefully.
- Forgetting that matrix multiplication follows a row-by-column rule, not simple entry matching.
Curriculum and exam alignment
In university and tertiary foundation courses in Ghana, this topic usually appears early in algebra and linear algebra work. It supports later tertiary coursework and the kind of matrix questions that can appear in professional entrance tests.
Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.
Related skills
Other University Calculus & Matrices skills in Maths, at the same point in the course.
Other Maths topics
Related study guides
Dreaming of a US university with a scholarship? The SAT or ACT is your gateway. This guide explains …
Core Maths is compulsory and it fails more WASSCE candidates than any other paper. This guide breaks…
Exams that assess matrices and determinants
University work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.
How this page was produced
This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.
- Written by
- DigiTransact Mastermind editorial team
- Human review
- Not yet. Subject-specialist review is scheduled; this page will say so once it has happened. See which content receives human review.
- Last updated
Spotted a mistake on this page? Report a content correction and we will check it against the source. You can also read our editorial policy and how we use AI and where it falls short.
Practise matrices and determinants
6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.