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For younger learners

  • Early Years Foundation Stage

Matrices

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.

The deadline for solutions to our live problems in this feature is Friday 1st December 2023.

The Matrix

Live
Age 14 to 18
Challenge Level Yellow star
Explore a new way of multiplying with matrices.

A Powerful Matrix

Live
Age 14 to 18
Challenge Level Yellow star
What happens when you find the powers of this matrix?

Flipping Twisty Matrices

Live
Age 14 to 18
Challenge Level Yellow star
Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Square Pair

Live
Age 14 to 18
Challenge Level Yellow starYellow star
Explore the shape of a square after it is transformed by the action of a matrix.

Markov Matrices

Live
Age 14 to 18
Challenge Level Yellow star
Use matrices to find out how much cake I eat.

Pass the Parcel

Live
Age 16 to 18
Challenge Level Yellow starYellow star
Use matrices to model this popular party game.

Two and Four Dimensional Numbers

Live
Age 16 to 18
Challenge Level Yellow star
Matrices and Complex Numbers combine to enable us to create four dimensional numbers.

Fix Me or Crush Me

Live
Age 16 to 18
Challenge Level Yellow starYellow star
Can you make matrices which will fix one lucky vector and crush another to zero?

Matrix Meaning

Live
Age 16 to 18
Challenge Level Yellow starYellow star
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.

Transformations for 10

Live
Age 16 to 18
Challenge Level Yellow starYellow starYellow star
Explore the properties of matrix transformations with these 10 questions.

You may also like

Introducing Complex Numbers

These resources are designed to introduce students to complex numbers in an exploratory way.

Statistical Investigations

A chance for students to use statistical skills to answer some interesting questions.

Maths for Champions

Can you win the Maths Olympics?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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