SME
Grade 12 Math · Problem type
Which move does the matrix make?
Use this for “Which transformation does [[0, 1], [1, 0]] make?”
Sort
Where do (1, 0) and (0, 1) land: turned, flipped, or stretched?
Tap a card, then tap its group.
Assumptions
•
The first column is where (1, 0) lands and the second where (0, 1) lands: sketch the two.
•
A turn keeps lengths and the order of the corners; a reflection keeps lengths but flips the order.
•
A dilation [[k, 0], [0, k]] with k > 0 keeps every direction and multiplies every length by k.
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.
Refresh
Related lessons
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?”