Fix Me or Crush Me
Age 16 to 18
Challenge Level
Can you make matrices which will fix one lucky vector and crush another to zero?
Cross with the Scalar Product
Age 16 to 18
Challenge Level
Explore the meaning of the scalar and vector cross products and see how the two are related.
Square Pair
Age 16 to 18
Challenge Level
Explore the shape of a square after it is transformed by the action of a matrix.
Matrix Meaning
Age 16 to 18
Challenge Level
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Nine Eigenlive
Age 16 to 18
Challenge Level
Explore how matrices can fix vectors and vector directions.
Limiting Probabilities
Age 16 to 18
Challenge Level
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.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.