Matrices and Geometric Transformations
Grade 12•45 minutes•south carolina RM.MGSR.1. Identify transformations using matrices.
Learning Objective
I can construct matrices to organize information and discern whether a given matrix can be used to describe a specific geometric transformation.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
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1. Explain the two key properties that define a linear transformation, as described in the video.
2. 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?
3. A vector (x, y) is transformed by a matrix | 1 2 | | 0 1 |. Determine the coordinates of the transformed vector in terms of x and y.
...and 4 more questions
Educational Video
Linear transformations and matrices | Chapter 3, Essence of linear algebra
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