Starting with the Basics , definition of a matrix. Different types of matrices. Operations on matrices. Addition , subtraction . Different properties like associative , commutative , distributive properties. Scalar multiplication and matrix multiplications. rules for doing matrix multiplication. Transpose of a matrix and types of matrices based on transpose of a matrix. Determinants. minor , cofactor and how to find the determinant of a matrix. Inverse of a matrix . Rules for finding the inverse of a matrix. Singular matrix. And finally solving simultaneous linear equations using matrices. three different methods to solve. Namely cramer's rule , matrix inversion and Gauss- Jordan method