VTU Online Class - Course Details

Basic Linear Algebra

I.K. RANA

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What you will learn

Mathematics

Linear Algebr is a basic course for students intended to go for Engineering sudies and higher studies in Mathematics. We will cover the basic tools needed in these brances.

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

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Meet Your Instructor

I.K. RANA

Instructor

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2 Courses

About Instructor

Prof. I. K. Rana Emeritus Fellow at Department of Mathematics, IIT Bombay. I have taught couses at B.Tech, M.Sc., and Ph.D level for the last 34 years.

video

Free

Course Duration

17 h 23 m 18 s
Course Level

Intermediate
Student Enrolled

0
Language

English

This Course Includes

17 h 23 m 18 s Video Lectures
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