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Determinant

• How is the area scaled after a linear transformation?
  • Look at how the area of one square unit changes.
  • Factor of change in area is determinant
  • If determinant is zero, it squishes the plane into a lower dimension.
  • Determinants can be negative
    • Which shows the change in orientation of space.
  • In 3 dimensions, this ends up referring to the change in volume.
  • [[3b1b essence]]

— Kunal