The Determinant | Essence of Linear Algebra, Chapter 5

Determine how much a linear transformation alters area. The seventh segment in a series of 15 makes the connection between the determinant and the scale factor of areas during a linear transformation. The video goes on to explain the geometric interpretation of negative and zero determinants.

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CCSS: Adaptable
Instructional Ideas

  • Pause the video at 3:05 and ask classmates to discuss what the meaning would be if the determinant was zero
Classroom Considerations

  • The class should already be familiar with linear combinations
  • It is helpful if class members already know the computational aspect of determinants

  • Provides an explanation of the formula for computation of determinants
  • Includes the geometric interpretation of the determinant in three dimensions

  • None
Common Core