If yes, then you are at right place. Introduction to the Course Contents. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. Invertible matrices, Homogeneous Equations Non-homogeneous Equations, 9. 111108081. Logic: Kaye's The Mathematics of Logic. NPTEL Video Course : NOC:Numerical Linear Algebra Lecture 1 - Matrix Operations and Types of Matrices Use NPTEL Mathematics Engineering App to understand your subjects better using video lectures and PDFs and make your concept stronger. 42. Similarity Transformation, 21. JULY 15, 2012 Abstract. It is also a required class in many college degrees. Don't show me this again. This is a collection of audio/video courses and lectures in mathematics and its applications from educational institutions around the world, covering algebra, calculus, discrete mathematics, history of mathematics, linear algebra, numerical analysis, and probability and statistics. Welcome! Orthogonal Complementary Subspaces, Orthogonal Projections, 45. HOME. The Gram-Schmidt Procedure I. The Rational Form, 40. Matrices of a Linear Transformation and its Transpose, 26. I recently came across 3Blue1Brown’s “Essence of linear algebra” YouTube playlist. Watch Queue Queue Basic subject on matrix theory and linear algebra, emphasizing topics useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices. Self-Adjoint Operators I. This course by N J Wildberger presents a geometrical view to Linear Algebra, with a focus on applications. Row-reduced Echelon Matrices and Non-homogeneous Equations, 6. Subspaces, Linear Dependence and Independence, Sums, Direct Sums and Gaussian Elimination, Null space, Range, Fundamental theorem of linear maps, Column space, null space and rank of a matrix, Translates of a subspace, Quotient Spaces, Coordinates and linear maps under a change of basis, Simplifying matrices of linear maps by choice of basis, Invariant subspaces, Eigenvalues, Eigenvectors, More on Eigenvalues, Eigenvectors, Diagonalization, Eigenvalues, Eigenvectors and Upper Triangularization, Linear state space equations and system stability, Discrete-time Linear Systems and Discrete Fourier Transforms, Dot product and length in Cn, Inner product and norm in V over F, Orthonormal basis and Gram-Schmidt orthogonalisation, Linear Functionals, Orthogonal Complements, Linear equations, Least squares solutions and Linear regression, Adjoint of an Operator and Operator-Adjoint Product, Quadratic Forms, Matrix Norms and Optimization, Singular Values and Vectors of a Linear Map, Polar decomposition and some applications of SVD. Lecture 1 is in three parts: part a, part b, and part c. First homework Solutions to first homework. Dual Basis I, 22. A Characterization, 31. Many people watch the lecture videos on YouTube: Lectures by Gil Strang: MIT 18.06 (Spring 2005) on YouTube - scroll to bottom of this page for overview of videos by topic. Abstract Algebra: Fraleigh's A First Course in Abstract Algebra. Would you like to learn Mathematics Engineering by IIT professors at any time and place? Applications. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. Hello guys! Linear Functionals. Sign in. DIGIMAT is an advanced HTML-5 based Video Learning Platform for Streaming 70,000+ HD Quality NPTEL Video Lectures in Smart Devices. Sivakumar,Department of Mathematics,IIT Madras.For more details on NPTEL visit httpnptel.ac.in. Isomorphic Vector Spaces, Equality of the Row-rank and the Column-rank I, 18. Direct Sum Decompositions and Projection Operators I, 34. We look at vectors, matrices, determinants, change of bases, row reduction, lines and planes, polynomial spaces, bases and coordinate vectors, and much more! Mathematics for Finance and Actuarial Studies 2 Delivered by Other. 3a. The Null Space and the Range Space of a Linear Transformation, 16. Subspaces, 10. Learn linear algebra for free—vectors, matrices, transformations, and more. These video lectures of Professor Gilbert Strang teaching 18.06 were recorded in Fall 1999 and do not correspond precisely to the current edition of the textbook. Subspace Annihilators I, 24. These linear algebra lecture notes are designed to be presented as twenty ve, fty minute lectures suitable for sophomores likely to use the material for applications but still requiring a solid foundation in this fundamental branch of mathematics. Linear Algebra is one of the fundamental tools that has applications in diverse ... His popular video lectures for the NPTEL(National Programme on Technology Enhanced Learning) course on Advanced 3G and 4G Wireless Mobile Communications can found at the following YouTube link ( NPTEL 3G/4G ). The Gram-Schmidt Procedure II. Elementary Properties in Vector Spaces. Sign in to like videos, comment, and subscribe. Bessel's Inequality, Parseval's Indentity, Best Approximation, 43. Second homework Solutions to second homework.
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