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Matrix Meaning

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

Nine Eigen

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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