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Quick Reference (18)

Resource type Addition, subtraction and scalar multiplication of matrices
Matrices 3: This leaflet explains the conditions under which it is possible to add or subtract two matrices. It explains how to perform addition and subtraction when this is possible. It also explains how a matrix can be multiplied by a number. There is an accompanying video tutorial.
Resource type Cramer's rule
Cramer's rule can be used to solve simultaneous equations using determinants. This leaflet states and illustrates the rule.
Resource type Determinants
This leaflet explains what is meant by a determinant and shows how it can be evaluated.
Resource type Eigenvalues and eigenvectors
This leaflet introduces eigenvalues and eigenvectors of a 2x2 matrix
Resource type Example of finding the determinant of a 3x3 matrix
Matrices 10: This leaflet provides an example of calculating the determinant of a 3x3 matrix. There is an accompanying video tutorial.
Resource type Matrices - solving two simultaneous equations
Matrices 8: This leaflet explains how matrices can be used to solve a pair of simultaneous equations. There is an accompanying video tutorial.
Resource type Matrices - what is a matrix ?
Matrices 1: This leaflet explains what is meant by a matrix, explains the notation used to describe matrices, and introduces some special types of matrix. There is an accompanying video tutorial.
Resource type Matrix inversion of a 3x3 matrix
Matrices 11: This leaflet explains how to calculate the inverse of a 3x3 matrix. There is an accompanying video tutorial.
Resource type Multiplying matrices
This leaflet explains how to multiply two matrices together.
Resource type Multiplying matrices 1
Matrices 5: This leaflet introduces the conditions under which matrices can be multiplied. It shows how matrix multiplication is carried out whenever this is possible. There is an accompanying video tutorial.
Resource type Multiplying matrices 2
Matrices 6: This leaflet continues to explore the conditions under which matrices can be multiplied. It shows how matrix multiplication is carried out whenever this is possible. There is an accompanying video tutorial.
Resource type Symmetric matrices and the transpose of a matrix
Matrices 2: This leaflet explains what is meant by a symmetric matrix and the transpose of a matrix. There is an accompanying video tutorial.
Resource type The determinant of a 2x2 matrix
Matrices 4: This leaflet explains what is meant by the determinant of a 2x2 matrix. It explains the terms singular matrix and non-singular matrix. There is an accompanying video tutorial.
Resource type The determinant of a 3x3 matrix
Matrices 9: This leaflet explains how to calculate the determinant of a 3x3 matrix. There is an accompanying video tutorial.
Resource type The inverse of a 2x2 matrix
This leaflet explains what is meant by the inverse of a 2x2 matrix and how this can be found using a formula.
Resource type The inverse of a 2x2 matrix
Matrices 7: This leaflet explains what is meant by the inverse of a 2x2 matrix and shows how to calculate this when it exists. There is an accompanying video tutorial.
Resource type The inverse of a matrix
This leaflet explains what is meant by the inverse of a matrix and how this can be calculated.
Resource type Using the inverse matrix to solve equations
This leaflet explains how simultaneous linear equations can be solved by calculating the inverse of an appropriate matrix.

Staff Resources (1)

Resource type Maths EG Teacher Interface
The teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to login to the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.

Test Yourself (1)

Resource type Maths EG
Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.

Video (11)

Resource type Addition, subtraction and scalar multiplication of matrices
Matrices 3: This video tutorial explains the conditions under which it is possible to add or subtract two matrices. It explains how to perform addition and subtraction when this is possible. It also explains how a matrix can be multiplied by a number. There is an accompanying help leaflet.
Resource type Example of finding the determinant of a 3x3 matrix
Matrices 10: This video tutorial provides an example of calculating the determinant of a 3x3 matrix. There is an accompanying help leaflet.
Resource type Matrices - solving two simultaneous equations
Matrices 8: This video tutorial explains how matrices can be used to solve a pair of simultaneous equations. There is an accompanying help leaflet.
Resource type Matrices - what is a matrix ?
Matrices 1: This video tutorial explains what is meant by a matrix, explains the notation used to describe matrices, and introduces some special types of matrix. There is an accompanying help leaflet.
Resource type Matrix inversion of a 3x3 matrix
Matrices 11: This video tutorial explains how to calculate the inverse of a 3x3 matrix. There is an accompanying help leaflet.
Resource type Multiplying matrices 1
Matrices 5: This video tutorial introduces the conditions under which matrices can be multiplied. It shows how matrix multiplication is carried out whenever this is possible. There is an accompanying help leaflet.
Resource type Multiplying matrices 2
Matrices 6: This video tutorial continues to explore the conditions under which matrices can be multiplied. It shows how matrix multiplication is carried out whenever this is possible. There is an accompanying help leaflet.
Resource type Symmetric matrices and the transpose of a matrix
Matrices 2: This video tutorial explains what is meant by a symmetric matrix and the transpose of a matrix. There is an accompanying help leaflet.
Resource type The determinant of a 2x2 matrix
Matrices 4: This video tutorial explains what is meant by the determinant of a 2x2 matrix. It explains the terms singular matrix and non-singular matrix. There is an accompanying help leaflet.
Resource type The determinant of a 3x3 matrix
Matrices 9: This video tutorial explains how to calculate the determinant of a 3x3 matrix. There is an accompanying help leaflet.
Resource type The inverse of a 2x2 matrix
Matrices 7: This video tutorial explains what is meant by the inverse of a 2x2 matrix and shows how to calculate this when it exists. There is an accompanying help leaflet.

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