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Iiser Lessons With Transcripts
Lecture 1, Linear Algebra I in Autumn 2025 at IISER Kolkata
Groups, rings, fields and vector spaces
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 2, Linear Algebra I in Autumn 2025 at IISER Kolkata
Revisiting the notion of vector spaces, abelian and non-abelian groups
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 3, Linear Algebra I in Autumn 2025 at IISER Kolkata
Examples of vector spaces, subspaces, span and linear independence
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 5, Linear Algebra I in Autumn 2025 at IISER Kolkata
Reduction of a spanning set to a basis, extension of a linearly independent set to a basis
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 4, Linear Algebra I in Autumn 2025 at IISER Kolkata
Spanning set, finite dimensional vector spaces, bases
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 6, Linear Algebra I in Autumn 2025 at IISER Kolkata
Reducing an infinite spanning set of a finite dimensional vector space to a basis
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 7, Linear Algebra I in Autumn 2025 at IISER Kolkata
Dimension of a vector space
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 8, Linear Algebra I in Autumn 2025 at IISER Kolkata
Linear transformations, isomorphisms of vector spaces, the Rank-Nullity Theorem, co-ordinates of a vector w.r.t. a basis, matrix of a linear transform...
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 9, Linear Algebra I in Autumn 2025 at IISER Kolkata
Linear operators, invariant subspaces, eigenvalues and eigenvectors of linear operators, change of bases and its effect on the matrix of linear transf...
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 10, Linear Algebra I in Autumn 2025 at IISER Kolkata
Equality of row and column ranks of a matrix
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 11, Linear Algebra I in Autumn 2025 at IISER Kolkata
Trace and determinant of a linear operator
Linear Algebra I, Autumn 2025 at IISER KolkataLecture 12, Linear Algebra I at IISER Kolkata in Autumn 2025
Eigenspaces, diagonalization, algebraic and geometric multiplicities of eigenvalues
Linear Algebra I, Autumn 2025 at IISER KolkataIiser Key Concepts
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