5:23:58
**UNIT 1**

Theory of Matrices: Types of real matrices and complex matrices, Types of real matrices and complex matrices Part 1, Types of real matrices and complex matrices Part 2, Types of real matrices and complex matrices Part 3, Rank Of Matrix, Rank Of Matrix Problem, Echelonform Problem Part 1, Echelonform Problem Part 2, Normal Form Or Canonical Form, Normalform (or) Canonical form problem, Inverse of Non-Singular matrices by Gauss-Jordan Method, Solution of system of Linear Equations, Solution of system of Homogeneous Linear Equations, Consistency and solution of linear systems(Homogeneous and Non-Homogeneous) Part 1, Consistency and solution of linear systems(Homogeneous and Non-Homogeneous) Part 2, Gauss Seidel iteration method, Gauss Elimination and Seidel iteration method Part 1, Gauss Elimination and Seidel iteration method Part 2, Cayley-Hamilton Theorem(Without Proof), Cayley-Hamilton Theorem Problem, Finding Inverse and power of a matrix by Cayley-Hamilton Theorem, Eigen Values and Eigen Vectors of a matrix, Eigen Values and Eigen Vectors and their properties Theorem, Eigen Values and Eigen Vectors and their properties Theorem Part 1, Eigen Values and Eigen Vectors Problems Part 1, Eigen Values and Eigen Vectors Problems Part 2, Eigen Values and Eigen Vectors Problems Part 3, Diagonalization of matrix, Diagonalization of a matrix by Orthogonal Reduction, Diagonalization of matrix (Problem 1), Diagonalization of matrix (Problem 2), Quadratic Forms and Nature Of The Quadratic Form, Quadratic Forms and Nature of the Quadratic forms part 1, Quadratic Forms and Nature of the Quadratic forms part 2, Reduction of Quadratic Form To Canonical Form, Reduction of Quadratic form to canonical form by orthogonal transformation part-1, Reduction of Quadratic form to canonical form by orthogonal transformation part-2