NOC:Linear Algebra (Prof. Pranav Haridas) (USB)

Media Storage Type : 64 GB USB Stick

NPTEL Subject Matter Expert : Prof. Pranav Haridas

NPTEL Co-ordinating Institute : IIT Madras

NPTEL Lecture Count : 48

NPTEL Course Size : 45 GB

NPTEL PDF Text Transcription : Available and Included

NPTEL Subtitle Transcription : Available and Included (SRT)

Lecture Titles:

Lecture 1 - Vector Spaces
Lecture 2 - Examples of Vector Spaces
Lecture 3 - Vector Subspaces
Lecture 4 - Linear Combinations and Span
Lecture 5 - Linear Independence
Lecture 6 - Basis
Lecture 7 - Dimension
Lecture 8 - Replacement theorem consequences
Lecture 9 - Linear Transformations
Lecture 10 - Rank Nullity
Lecture 11 - Linear Transformation Basis
Lecture 12 - Linear Transformation and Matrices
Lecture 13 - Problem session
Lecture 14 - Linear Transformation and Matrices (Continued...)
Lecture 15 - Invertible Linear Transformations
Lecture 16 - Invertible Linear Transformations and Matrices
Lecture 17 - Change of Basis
Lecture 18 - Product of Vector Spaces
Lecture 19 - Dual Spaces
Lecture 20 - Quotient Spaces
Lecture 21 - Row operations
Lecture 22 - Rank of a Matrix
Lecture 23 - Inverting matrices
Lecture 24 - Determinants
Lecture 25 - Problem Session
Lecture 26 - Diagonal Matrices
Lecture 27 - Eigenvectors and eigenvalues
Lecture 28 - Computing eigenvalues
Lecture 29 - Characteristic ploynomia
Lecture 30 - Diagonalizibility
Lecture 31 - Multiplicity of eigenvalues
Lecture 32 - Invariant subspaces
Lecture 33 - Complex Vector Spaces
Lecture 34 - Inner Product Spaces
Lecture 35 - Inner Product and Length
Lecture 36 - Orthogonality
Lecture 37 - Problem Session
Lecture 38 - Problem Session
Lecture 39 - Orthonormal Basis
Lecture 40 - Gram Schmidt Orthogonalization
Lecture 41 - Orthogonal Complements
Lecture 42 - Problem Session
Lecture 43 - Riesz Representation Theorem
Lecture 44 - Adjoint of a linear transformation
Lecture 45 - Problem Session
Lecture 46 - Normal Operators
Lecture 47 - Self Adjoint Operators
Lecture 48 - Spectral Theorem