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LearnEdexcelYFM012018 specificationWFM01 · Further Pure Mathematics 1Transformations using matrices

WFM01 · Module

Transformations using matrices

1 subtopic≈ 45 min in total

Start the module: Transformations, invariant points and lines Open graphing calculator

Transformations, invariant points and lines
The columns of a transformation matrix are the images of the unit vectors $\mathbf i$ and $\mathbf j$ . Rotations, reflections, enlargements and stretches all have standard matrices. $\mathbf{BA}$ means "do $\mathbf A$ , then $\mathbf B$ ". Invariant points satisfy $\mathbf M\mathbf x=\mathbf x$ ; invariant lines map onto themselves.
≈ 45 min