Back to Work with 2x2 matrices as transformations — Problem 2 · Task Set 27

Exercises: Work with 2x2 Matrices as Transformations

Work through each section in order. Show your work where indicated.

Grade 9·20 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-c-12

Work through problems with immediate feedback

Recall / Warm-Up

The unit square has vertices at $(0,0)$ , $(1,0)$ , $(0,1)$ , and $(1,1)$ . Under any $2 \times 2$ transformation $A$ , where does the origin $(0,0)$ always go?

To $(1,1)$

Depends on the matrix $A$

To $(0,0)$ — the origin always maps to itself

To the center of the image parallelogram