### Matrix Meaning

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

# Nine Eigen

##### Stage: 5 Challenge Level:

A vector ${\bf v}$ is fixed by a matrix if

$$M{\bf v} = {\bf v}$$

The vector direction of ${\bf v}$ is fixed if there is some number $\lambda\neq 0$ such that

$$M{\bf v} = \lambda{\bf v}$$

This resource introduces concepts which appear in the later Further Pure Mathematics A Level modules.