Matrices organise numbers into rows and columns and combine them by rules of their own. This course covers matrix algebra, transposes and inverses.
The course follows the NCERT Class 12 Mathematics chapter Matrices 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.
- Matrices and Matrix Operations — Order and types of matrices, addition, scalar multiples, multiplication and its non-commutativity, and the transpose.
- Symmetric Matrices, Inverses and Mixed Practice — Symmetric and skew-symmetric matrices, the splitting of a square matrix, inverses by row operations, and mixed practice.
By the end you will be able to:
- Identify the order and type of a matrix.
- Add, scale and multiply matrices.
- Express a square matrix as symmetric plus skew-symmetric.
- Find an inverse by elementary row operations.