SME
Grade 12 Math
Matrices as transformations of the plane
The main lesson, then each kind of problem it solves.
Matrices as transformations of the plane
Main lesson
The image of a point, and undoing it
Use this for “Where does [[2, 1], [1, 1]] send (3, −1)? Which point does it send to (5, 2)?”
How a matrix changes area
Use this for “A shape of area 4 is transformed by [[3, 1], [1, 2]]. What is the new area?”
Two turns in a row
Use this for “Turn (4, 2) by 30° and then by 60°. Which single matrix does both?”
Which move does the matrix make?
Use this for “Which transformation does [[0, 1], [1, 0]] make?”