Matrices and Geometric Transformations
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Objective
I can construct matrices to organize information and discern whether a given matrix can be used to describe a specific geometric transformation.
Part 1 of 3
Warm-up video
3Blue1Brown · 10:59Vetted channel
We don't generate video — this one is by 3Blue1Brown on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the two key properties that define a linear transformation, as described in the video.
If a linear transformation maps the vector i-hat to (2, 1) and the vector j-hat to (-1, 3), what matrix represents this transformation?
Part 3 of 3
Exit ticket
Quick comprehension check
“A linear transformation reflects points across the y-axis. Construct the 2x2 matrix that represents this transformation. A linear transformation scales all x-coordinates by a factor of 3 while leaving y-coordinates unchanged. Construct the 2x2 matrix that represents this transformation. ”
Sample answer included in the free materials
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