NOC:Basic Linear Algebra


Lecture 1 - Introduction - I


Lecture 2 - Introduction - II


Lecture 3 - Introduction - III


Lecture 4 - Systems of Linear Equations - I


Lecture 5 - Systems of Linear Equations - II


Lecture 6 - Systems of Linear Equations - III


Lecture 7 - Reduced Row Echelon Form and Rank - I


Lecture 8 - Reduced Row Echelon Form and Rank - II


Lecture 9 - Reduced Row Echelon Form and Rank - III


Lecture 10 - Solvability of a Linear System, Linear Span, Basis - I


Lecture 11 - Solvability of a Linear System, Linear Span, Basis - II


Lecture 12 - Solvability of a Linear System, Linear Span, Basis - III


Lecture 13 - Linear Span, Linear Independence and Basis - I


Lecture 14 - Linear Span, Linear Independence and Basis - II


Lecture 15 - Linear Span, Linear Independence and Basis - III


Lecture 16 - Row Space, Column Space, Rank-Nullity Theorem - I


Lecture 17 - Row Space, Column Space, Rank-Nullity Theorem - II


Lecture 18 - Row Space, Column Space, Rank-Nullity Theorem - III


Lecture 19 - Determinants and their Properties - I


Lecture 20 - Determinants and their Properties - II


Lecture 21 - Determinants and their Properties - III


Lecture 22 - Linear Transformations - I


Lecture 23 - Linear Transformations - II


Lecture 24 - Linear Transformations - III


Lecture 25 - Orthonormal Basis, Geometry in R^2 - I


Lecture 26 - Orthonormal Basis, Geometry in R^2 - II


Lecture 27 - Orthonormal Basis, Geometry in R^2 - III


Lecture 28 - Isometries, Eigenvalues and Eigenvectors - I


Lecture 29 - Isometries, Eigenvalues and Eigenvectors - II


Lecture 30 - Isometries, Eigenvalues and Eigenvectors - III


Lecture 31 - Diagonalization and Real Symmetric Matrices - I


Lecture 32 - Diagonalization and Real Symmetric Matrices - II


Lecture 33 - Diagonalization and Real Symmetric Matrices - III


Lecture 34 - Diagonalization and its Applications - I


Lecture 35 - Diagonalization and its Applications - II


Lecture 36 - Diagonalization and its Applications - III


Lecture 37 - Abstract Vector Spaces - I


Lecture 38 - Abstract Vector Spaces - II


Lecture 39 - Abstract Vector Spaces - III


Lecture 40 - Inner Product Spaces - I


Lecture 41 - Inner Product Spaces - II