This cheat sheet covers the high school math concept – Determinants.


This concept is a part of Algebra, and is one of the easier concepts in this area. It is also widely used as a tool in other areas, especially coordinate geometry. For example – the area of a triangle, the condition for points to be collinear or coplanar, equation of a line or a plane – all involve the use of determinants. Cheats sheets on Coordinate Geometry Basics and 3D Geometry are also available on this website.

Furthermore, solution of linear equations also involve the use of determinants. In fact, this is one of their main applications.

A basic knowledge about the properties of matrices will help in understanding some of the properties of determinants and solving related problems. A cheat sheet on Matrices is also available on this website.

This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Expansion of Determinants
  • Properties of Determinants
  • Product of Two Determinants
  • Summation of Determinants
  • Differentiation of Determinants

Here is the download link:

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