Lecture 22 of 42Week 5
Lecture 22 : Linear Transformations I
Prof. I.K.Rana · IIT Bombay
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- Basic Linear Algebra, IIT Bombay (at NPTEL)
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All the lectures
- 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
- Lecture 41 : Inner Product Spaces II
- Live Session 08-04-2021