Determinants
In the sketch below is shown two vectors, the determinant of the matrix
formed by the two vectors, a blue quadrilateral, and a red image quadrilateral.
- How is the determinant related to the area of the two
quadrilaterals?
- What happens when the vectors point in the same
direction?
- What happens when the vectors point in the opposite
direction?
- What happens when the vectors are perpendicular?
- What happens when the vectors make an angle of 45°?
- What happens when the determinant is negative?
- What happens when the determinant is zero?
Steve
Phelps, Created with GeoGebra
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