4:01:57
**UNIT 1**

Linear Algebra: 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, 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, Eigen Values and Eigen Vectors, 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), Cayley-Hamilton Theorem(Without Proof), Cayley-Hamilton Theorem Problem, 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