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.