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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.

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### Flipping Twisty Matrices

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

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### Square Pair

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

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### Two and Four Dimensional Numbers

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

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### Fix me or crush me

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

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### Matrix meaning

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

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### Transformations for 10

Explore the properties of matrix transformations with these 10 questions.