A determinant tells whether a matrix can be inverted. This course evaluates determinants and uses adjoints and inverses to solve systems of equations.
The course follows the NCERT Class 12 Mathematics chapter Determinants and has 2 lessons. Each lesson explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.
- Determinants, Area and Cofactors — Evaluating 2 by 2 and 3 by 3 determinants, area of a triangle and collinearity, and minors and cofactors.
- Adjoint, Inverse and Systems of Equations — Adjoint and inverse of a matrix, consistency and solution of linear systems by matrices, and mixed practice.
By the end you will be able to:
- Evaluate determinants of order 2 and 3.
- Find areas and test collinearity with determinants.
- Find the adjoint and inverse of a matrix.
- Solve and test consistency of linear systems.