JentooPrecalculus

AP® Precalculus · Unit 4 · Topic 4.13

Finding the Matrix from Where i and j Go

Watch it drawn3 questionsPractice

Watch it explained

  1. How it worksHow do the images of i and j become the two columns of the transformation matrix?
  2. Worked exampleFind the matrix that sends (1, 0) to (2, 1) and sends (0, 1) to (-1, 3).
  3. Going furtherWhat matrix reflects every vector over the y-axis?

Check yourself

Your turn1 of 2
A transformation sends (1,0) to (7, 6) and (0,1) to (-2, 3). Find the x-component of the image of the vector (1, 2).

End of topic.

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