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### Number and algebra

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### For younger learners

### Advanced mathematics

# Matrices

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Flipping Twisty Matrices

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Square Pair

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Two and Four Dimensional Numbers

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Fix Me or Crush Me

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Matrix Meaning

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Transformations for 10

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Are you ready to enter the matrix?

A matrix is a set of numbers arranged in rows and columns (they form what is called a *rectangular array*). They have many applications in maths, statistics, economics, physics, engineering etc. as well as computer graphics and web-search page ranking. One of the reasons they are so powerful is that we can use computers to solve large matrix problems relatively
easily.

In this feature you will discover how matrices can be multiplied, explore how they can be used to represent transformations, use them to model probability problems and explore four dimensional numbers.

Age 14 to 18

Challenge Level

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Age 14 to 18

Challenge Level

Explore the shape of a square after it is transformed by the action of a matrix.

Age 16 to 18

Challenge Level

Matrices and Complex Numbers combine to enable us to create four dimensional numbers.

Age 16 to 18

Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Age 16 to 18

Challenge Level

Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Age 16 to 18

Challenge Level

Explore the properties of matrix transformations with these 10 questions.