Matrices

There are 17 NRICH Mathematical resources connected to Matrices
Limiting Probabilities
problem
Favourite

Limiting probabilities

Age
16 to 18
Challenge level
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Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even 100.
8 Methods for Three By One
problem
Favourite

8 methods for three by one

Age
14 to 18
Challenge level
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This problem in geometry has been solved in no less than EIGHT ways by a pair of students. How would you solve it? How many of their solutions can you follow? How are they the same or different? Which do you like best?
Markov Matrices
problem

Markov matrices

Age
14 to 18
Challenge level
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Use matrices to find out how much cake I eat.
Pass the Parcel
problem

Pass the parcel

Age
16 to 18
Challenge level
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Use matrices to model this popular party game.
A powerful Matrix
problem

A powerful matrix

Age
14 to 18
Challenge level
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What happens when you find the powers of this matrix?
The Matrix
problem

The matrix

Age
14 to 18
Challenge level
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Explore a new way of multiplying with matrices.
Transformations for 10
problem

Transformations for 10

Age
16 to 18
Challenge level
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Explore the properties of matrix transformations with these 10 questions.
Stringing it Out
problem

Stringing it out

Age
14 to 16
Challenge level
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Explore the transformations and comment on what you find.
Flipping Twisty Matrices
problem

Flipping twisty matrices

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