Challenge Level

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

Challenge Level

Explore the meaning of the scalar and vector cross products and see how the two are related.

Challenge Level

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

Challenge Level

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

Challenge Level

Explore how matrices can fix vectors and vector directions.

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.