Resources tagged with: Matrices
There are 17 NRICH Mathematical resources connected to Matrices, you may find related items under Vectors and matrices.
Broad Topics > Vectors and matrices > Matrices
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.
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?
Matrix Meaning
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Square Pair
Explore the shape of a square after it is transformed by the action of a matrix.
Transformations for 10
Explore the properties of matrix transformations with these 10 questions.
Fix Me or Crush Me
Can you make matrices which will fix one lucky vector and crush another to zero?
Two and Four Dimensional Numbers
Matrices and Complex Numbers combine to enable us to create four dimensional numbers.
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.
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.
Stringing it Out
Explore the transformations and comment on what you find.
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.
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.