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.

Concepts

determinants, linear algebra, area, scale factors, matrices, transformations

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Additional Tags

math

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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

• This video is hosted on YouTube

Pros

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

Cons

• None

Common Core

HSN-VM.C.11 MP2