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Each time you visit the NRICH site there will be some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.
The last day for sending in solutions to these live problems is Monday 27 November.
Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.
What happens when you find the powers of this matrix?
Explore the shape of a square after it is transformed by the action of a matrix.
Matrices and Complex Numbers combine to enable us to create four dimensional numbers.
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Can you make matrices which will fix one lucky vector and crush another to zero?
Explore the properties of matrix transformations with these 10 questions.
Why not get your creative juices flowing by trying out some of the tasks on our new website Wild Maths?