List

Vectors and Matrices Further

Fix me or crush me
problem

Fix me or crush me

Age
16 to 18
Challenge level
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Can you make matrices which will fix one lucky vector and crush another to zero?
Cross with the Scalar product
problem

Cross with the Scalar product

Age
16 to 18
Challenge level
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Explore the meaning of the scalar and vector cross products and see how the two are related.
Square Pair
problem

Square Pair

Age
14 to 18
Challenge level
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Explore the shape of a square after it is transformed by the action of a matrix.
Matrix meaning
problem

Matrix meaning

Age
16 to 18
Challenge level
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Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
Nine Eigen
problem

Nine Eigen

Age
16 to 18
Challenge level
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Explore how matrices can fix vectors and vector directions.
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.