Course10810137186 lectures
Applied Linear Algebra
Prof. Dwaipayan Mukherjee · IIT Bombay
Lectures
week-01
- Lecture 1 - Introduction - Part A
- Lecture 2 - Introduction - Part B
- Lecture 3 - Introduction - Part C
- Lecture 4 - Equivalent Systems - Part A
- Lecture 5 - Equivalent Systems - Part B
- Lecture 6 - Equivalent Systems - Part C
- Lecture 7 - Solution of Ax = b - Part A
week-02
- Lecture 8 - Solution of Ax = b - Part B
- Lecture 9 - Solution of Ax = b - Part C
- Lecture 10 - Rings, Integral Domains and Fields - Part A
- Lecture 11 - Rings, Integral Domains and Fields - Part B
- Lecture 12 - Rings, Integral Domains and Fields - Part C
- Lecture 13 - Vector Spaces and Subspaces - Part A
- Lecture 14 - Vector Spaces and Subspaces - Part B
week-03
- Lecture 15 - Vector Spaces and Subspaces - Part C
- Lecture 16 - Unions, Intersection, Sums of Subspaces - Part A
- Lecture 17 - Unions, Intersection, Sums of Subspaces - Part B
- Lecture 18 - Generating sets, Linear independence and basis - Part A
- Lecture 19 - Generating sets, Linear independence and basis - Part B
- Lecture 20 - Generating sets, Linear independence and basis - Part C
week-04
- Lecture 21 - Ordered basis and co-ordinates - Part A
- Lecture 22 - Ordered basis and co-ordinates - Part B
- Lecture 23 - Ordered basis and co-ordinates - Part C
- Lecture 24 - Rank-Nullity Theorem (Matrices) - Part A
- Lecture 25 - Rank-Nullity Theorem (Matrices) - Part B
- Lecture 26 - Rank-Nullity Theorem (Matrices) - Part C
- Lecture 27 - Rank-Nullity Theorem (Linear Transformation) - Part A
week-05
- Lecture 28 - Rank-Nullity Theorem (Linear Transformation) - Part B
- Lecture 29 - Rank-Nullity Theorem (Linear Transformation) - Part C
- Lecture 30 - Isomorphism and Inverses - Part A
- Lecture 31 - Isomorphism and Inverses - Part B
- Lecture 32 - Isomorphism and Inverses - Part C
- Lecture 33 - Dual Basis and Annihilator - Part A
- Lecture 34 - Dual Basis and Annihilator - Part B
week-06
- Lecture 35 - Dual Basis and Annihilator - Part C
- Lecture 36 - Dual maps and double dual - Part A
- Lecture 37 - Dual maps and double dual - Part B
- Lecture 38 - Dual maps and double dual - Part C
- Lecture 39 - Quotient spaces and quotient map - Part A
- Lecture 40 - Quotient spaces and quotient map - Part B
- Lecture 41 - Quotient spaces and quotient map - Part C
week-07
- Lecture 42 - Inner Product Spaces - Part A
- Lecture 43 - Inner Product Spaces - Part B
- Lecture 44 - Inner Product Spaces - Part C
- Lecture 45 - Gram Schmidt Procedure - Part A
- Lecture 46 - Gram Schmidt Procedure - Part B
- Lecture 47 - Gram Schmidt Procedure - Part C
- Lecture 48 - Best Approximation of a Vector - Part A
week-08
- Lecture 49 - Best Approximation of a Vector - Part B
- Lecture 50 - Best Approximation of a Vector - Part C
- Lecture 51 - Projection map and summary of Ax = b - Part A
- Lecture 52 - Projection map and summary of Ax = b - Part B
- Lecture 53 - Projection map and summary of Ax = b - Part C
- Lecture 54 - Linear Differential Equations - Part A
- Lecture 55 - Linear Differential Equations - Part B
week-09
- Lecture 56 - Introduction to Eigen values and Eigen vectors - Part A
- Lecture 57 - Introduction to Eigen values and Eigen vectors - Part B
- Lecture 58 - Introduction to Eigen values and Eigen vectors - Part C
- Lecture 59 - Singular Value Decomposition - Part A
- Lecture 60 - Singular Value Decomposition - Part B
- Lecture 61 - Singular Value Decomposition - Part C
- Lecture 62 - Algebraic and geometric multiplicities - Part A
week-10
- Lecture 63 - Algebraic and geometric multiplicities - Part B
- Lecture 64 - A-Invariant Subspaces - Part A
- Lecture 65 - A-Invariant Subspaces - Part B
- Lecture 66 - A-Invariant Subspaces - Part C
- Lecture 67 - Minimal Polynomial-I - Part A
- Lecture 68 - Minimal Polynomial-I - Part B
week-11
- Lecture 69 - Minimal Polynomial-I - Part C
- Lecture 70 - Minimal Polynomial-I - Part D
- Lecture 71 - Minimal Polynomial-II - Part A
- Lecture 72 - Minimal Polynomial-II - Part B
- Lecture 73 - Minimal Polynomial-II - Part C
- Lecture 74 - Minimal Polynomial-II - Part D
- Lecture 75 - Cayley Hamilton Theorem - Part A
- Lecture 76 - Cayley Hamilton Theorem - Part B
week-12
- Lecture 77 - Cayley Hamilton Theorem - Part C
- Lecture 78 - Jordan Canonical Form - Part A
- Lecture 79 - Jordan Canonical Form - Part B
- Lecture 80 - Jordan Canonical Form - Part C
- Lecture 81 - Algebraic Graph Theory and Consensus - Part A
- Lecture 82 - Algebraic Graph Theory and Consensus - Part B
- Lecture 83 - Algebraic Graph Theory and Consensus - Part C
- Lecture 84 - Positive Matrices and Leontieff's Model - Part A
- Lecture 85 - Positive Matrices and Leontieff's Model - Part B
Live Session
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Bombay
- Department
- Electrical Engineering
- Teacher
- Prof. Dwaipayan Mukherjee
- Level
- Undergraduate
- Language
- English
- Subjects
- Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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