Class 12 Maths · Chapter 4 · CBSE / NCERT

Determinants

One number that tells a lot about a square matrix. You’ll learn to work out determinants, find areas with them, use minors, cofactors and the adjoint, and solve equations.

14 short lessons · about 64 minutes in all

What you’ll learn

  1. 1What a determinant is4 min
  2. 2The determinant of a 2 by 2 matrix4 min
  3. 3Working out a 3 by 3 determinant5 min
  4. 4What scaling a matrix does to its determinant4 min
  5. 5The area of a triangle from a determinant5 min
  6. 6Points on one line, and the line through two points4 min
  7. 7The minor of an entry4 min
  8. 8Cofactors: minors with a sign5 min
  9. 9The adjoint of a matrix5 min
  10. 10Singular and non-singular matrices4 min
  11. 11Finding the inverse with the adjoint5 min
  12. 12The inverse from a matrix equation5 min
  13. 13Solving equations with the inverse5 min
  14. 14When equations have one, none or many solutions5 min

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What a determinant is · about 4 minutes

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