problem
Fix me or crush me
Can you make matrices which will fix one lucky vector and crush another to zero?
problem
Cross with the Scalar product
Explore the meaning of the scalar and vector cross products and see how the two are related.
problem
Square Pair
Explore the shape of a square after it is transformed by the action of a matrix.
problem
Matrix meaning
Explore the meaning behind the algebra and geometry of matrices with these 10 individual problems.
problem
Favourite
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.