DETERMINANTS
Determinant of a square matrix (up to 3 × 3 matrices) | Definition, expansion, properties of determinants, minors , cofactors and problems |
Applications of determinants in finding the area of a triangle | |
Adjoint and inverse of a square matrix, definition of singular and non-singular matrices, mentioning their propertie | |
a)If A and B are nonsingular matrices of same order, then AB and BA are nonsingular matrices of same order | |
b)A square matrix A is invertible if and only if A is non-singular matrix Consistency, inconsistency and number of solutions of system of linear equations by examples, | |
Solving system of linear equations in two and three variables (having unique solution) using inverse of a matrix. |