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There are **17** NRICH Mathematical resources connected to **Matrices**, you may find related items under Vectors and matrices.

Problem
Primary curriculum
Secondary curriculum
### Limiting Probabilities

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.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### 8 Methods for Three by One

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?

Age 14 to 18

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Matrix Meaning

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

Age 16 to 18

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Square Pair

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

Age 14 to 18

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Transformations for 10

Explore the properties of matrix transformations with these 10 questions.

Age 16 to 18

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Fix Me or Crush Me

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

Age 16 to 18

Challenge Level

Problem
Live Primary curriculum
Secondary curriculum
### Two and Four Dimensional Numbers

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

Age 16 to 18

Challenge Level

Article
Primary curriculum
Secondary curriculum
### The Golden Ratio, Fibonacci Numbers and Continued Fractions.

An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.

Age 14 to 16

Problem
Live Primary curriculum
Secondary curriculum
### 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.

Age 14 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Stringing it Out

Explore the transformations and comment on what you find.

Age 14 to 16

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Reflect Again

Follow hints to investigate the matrix which gives a reflection of the plane in the line y=tanx. Show that the combination of two reflections in intersecting lines is a rotation.

Age 16 to 18

Challenge Level

Problem
Primary curriculum
Secondary curriculum
### Rots and Refs

Follow hints using a little coordinate geometry, plane geometry and trig to see how matrices are used to work on transformations of the plane.

Age 16 to 18

Challenge Level