Introduction Concept, Notation and order.
Types of matrices   Column matrix, row matrix, rectangular matrix, square matrix, zero  matrix, diagonal matrix, scalar matrix and unit matrix.
Algebra of matrices   Equality of matrices, Addition, multiplication, scalar multiplication  of matrices, Transpose of a matrix. Mentioning properties with  respect to addition, multiplication, scalar multiplication  and transpose of matrices.
Symmetric and Skew Symmetric matrices Definitions
Properties of symmetric and skew symmetric matrices: Proofs of
i) If a is any square matrix a+a′ is symmetric and a-a′  is skew symmetric.
ii) Any square matrix can be expressed as the sum of a symmetric and a skew symmetric matrix.
Concept of elementary row and column operations   Finding inverse of a matrix restricted to 2×2 matrices only.
Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).