Three-dimensional Linear Transformations | Essence of Linear Algebra, Footnote

Bring it all to three dimensions. The short video points out that the discussion in the previous presentations in two dimensions also holds true for three dimensions. The sixth video in the series of 15 specifically makes the connections between 2-D and 3-D linear transformations.

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CCSS: Adaptable
Instructional Ideas

  • Create 3-D models of vectors using straws or kebab sticks
  • Have individuals calculate the multiplication of the 3x3 matrices and determine the general form
Classroom Considerations

  • The class should understand linear transformation within two dimensions
Pros

  • Uses animations to show the 3-D representations
  • Includes closed captioning for easier note taking
Cons

  • None
Common Core