Matrices resources
Quick Reference (12)

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.

This leaflet introduces eigenvalues and eigenvectors of a 2x2 matrix. It is contributed to the mathcentre Community Project by Tony Croft and reviewed by Leslie Fletcher.

Matrices 10: This leaflet provides an example of calculating the determinant of a 3x3 matrix. There is an accompanying video tutorial.

Matrices 8: This leaflet explains how matrices can be used to solve a pair of simultaneous equations. There is an accompanying video tutorial.

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.

Matrices 11: This leaflet explains how to calculate the inverse of a 3x3 matrix. There is an accompanying video tutorial.

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.

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.

Matrices 2: This leaflet explains what is meant by a symmetric matrix and the transpose of a matrix. There is an accompanying video tutorial.

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.

Matrices 9: This leaflet explains how to calculate the determinant of a 3x3 matrix. There is an accompanying video tutorial.

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.
Test Yourself (8)

Three questions on finding the determinant of a 2X2 and a 3X3 matrix and finding values of x such that the determinant of a 2X2 is zero. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

Four questions on finding eigenvalues (both real and complex) of a 2X2 matrix and eigenvectors of a 2X2 and 3X3 matrix. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

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.

Five questions on matrix arithmetic testing matrix addition, scalar multiplication, transpose of a matrix and matrix multiplication. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

Three questions on linear combinations and products of matrices. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

1 question. Solve a pair of linear equations in two unknowns by writing an equivalent matrix equation. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

3 questions. First, two equations in two unknowns; second 3 equations in 3 unknowns, solved by Gauss elimination. The third, two equations in 2 unknowns solved by putting into matrix form and finding the inverse of the coefficient matrix. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Video (11)

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.

Matrices 10: This video tutorial provides an example of calculating the determinant of a 3x3 matrix. There is an accompanying help leaflet.

Matrices 8: This video tutorial explains how matrices can be used to solve a pair of simultaneous equations. There is an accompanying help leaflet.

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.

Matrices 11: This video tutorial explains how to calculate the inverse of a 3x3 matrix. There is an accompanying help leaflet.

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.

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.

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.

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.

Matrices 9: This video tutorial explains how to calculate the determinant of a 3x3 matrix. There is an accompanying help leaflet.

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.