Course No:           Act 541

Course Name:      Linear Algebra

Course Description:      

Linear Algebra: Vector spaces. Basis and Dimension, Orthonormal Basis. Matrices and Determinants. Pattern Matrices; Laplace Method, Relevant Theorems on Matrices. Rank, Inverse of matrices using ranks. Solution of equations (Homogeneous and Non-Homogeneous). Linear Transformations.

Quadratic forms and relevant theorems. Latent Roots and Vectors. Diagonalization. Canonical forms. Kronecker Sum and product of matrices. Generalized inverse and its applications

Course Review:

This subject gives an idea about vector spaces, basis and dimension, orthonormal basis, matrices and determinants, pattern matrices, Laplace method, relevant theorems on matrices, rank, inverse of matrices using ranks, explanation of equations (homogeneous and non-homogeneous), linear transformations, quadratic form and relevant theorems, Latent roots and vectors, Diagonalization, Canonical forms, Kronecker sum and product of matrices, generalized inverse and its applications.