MATRICES

(SECTION-A)

 (i) Matrices and types of Matrices (ii) Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix (iii) Algebra of Matrices (iv) Determinants (v) Inverse of a Matrix (vi) Solving of simultaneous equations using Matrix Method

(SECTION-B)

Concept,notation,order, equality,types of matrices, zero matrix,transpose of a matrix,symmetric and skew symmetric matrices. Addition,multiplication and scalar multiplication of matrices,simple properties of addition,multiplication and scalar multiplication.Non-commutativity of multiplication of matrices and existence of non-zero matrices whose productis the zero matrix (restrictto square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof  of the uniqueness  of inverse,if it exists;(Here all matrices will have real entries).