oaxino Posted December 20, 2022 Report Share Posted December 20, 2022 Published 12/2022MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 1.85 GB | Duration: 7h 16mBasis And DimensionWhat you'll learnVector Spaces specifies the no. of independent directions in the space. Infinite dimensional Vector Space are Function spaces in Mathematical Analysis.Students can enhance their knowledge in the study of Norms, Inner product Spaces, and other fundamental in mathematical analysis such as Banach & Hilbert spacesTo understand how students make sense of subspaces of vector spaces in series of in-depth qualitative interviews in technology assisted learning Environment.Vector Spaces may be generalized in several ways, leading to more advanced notations in Abstract Algebra also offer a framework for Fourier Expansion.RequirementsBasic Linear Algebra (Vector Spaces)DescriptionLINEAR ALGEBRA- Part 2 (VECTOR SPACES)BASIS AND DIMENSIONWelcome to this 9+ hours of course on Linear Algebra where you will learn the Concept of Vector Spaces , Subspaces of Vector Spaces , Generators of Vectors , Linear Span , Linearly Dependent and Linearly Independent Vectors and Functions. In Linearly dependent and independent vectors and functions you will learn the concept of how to check whether vectors are linearly dependent or not. Furthermore you will learn the conditions of Trivial and Non Trivial Solutions along with Direct Sum of Subspaces. Then comes the Introduction to Basis and Dimension. In this section, some of the basic concepts in the study of vectors spaces is introduced. Basis is a linearly independent spanning set. The content on Basis for matrices, symmetric matrices, Hermitian Matices, Real Matrices, Columns of Invertible matrices and many more concepts. This course also provides the knowledge about how to find the Dimensions of Vector Spaces and Subspaces. The concept of Coordinate Vector is also included.This course is also subjected with so many Assignments covering the Definitions, Remarks, Notes , Postulates, with all the Expected Examples and Expected Theorems with Corollary. The assignments will helps you to get grasp of the subject.Vector Spaces are the subject of Linear Algebra and are well characterized by their dimension , which specifies the number of independent directions in the space. Infinte-Dimensional vector spaces arise naturally in Mathematical Analysis as function spaces, whose vectors are functions.For any queries related to the course, I would be happy to assist you. Just ping me via Inbox. You will get a course completion certificate after finishing the course.OverviewSection 1: Introduction to Basis and DimensionsLecture 1 Assignment 1 Linearly Dependent and Linearly Independent FunctionsLecture 2 Assignment 2 Solved ExamplesLecture 3 Assignment 3 Examples to solve for Linearly Dependent or Independent functionsSection 2: BasisLecture 4 Assignment 1Lecture 5 Assignment 2Lecture 6 Assignment 3Lecture 7 Assignment 4Lecture 8 Assignment 5Section 3: Basis for MatricesLecture 9 Basis for MatricesLecture 10 Basis for Hermitian MatricesLecture 11 Basis for all 2 by 3 Real MatricesLecture 12 Expected Example on MatricesLecture 13 Solved Examples on MatricesLecture 14 {1,1+x,1+x²} forms Basis for vector SpaceLecture 15 {1,1+x,1+x²,1+x³,...........} forms Basis for Vector SpaceLecture 16 {1,2-x,3+x²,4-x³} forms Basis for Vector SpaceLecture 17 Columns of Invertible n by n Matrix forms Basis for F(n by 1), Column Matrix.Section 4: Basis For Vector SpaceLecture 18 Assignment 1Lecture 19 Assignment 2Lecture 20 Assignment 3Lecture 21 Assignment 4Lecture 22 Assignment 5Section 5: Dimension of Vector Space VLecture 23 Definition of Dimension of a Vector SpaceLecture 24 No subset of V which contains less than n vectors can span V.Lecture 25 Generating Set with n elements is a Basis for VLecture 26 Existence Theorem: A Linearly Independent Set with n elements is a Basis for VLecture 27 If W is a Subspace of Finite Dimensional V then dimW is than equal to dimVLecture 28 If W is a Proper Subspace of V, then dimW less than dimVLecture 29 If W1 and W2 be the Subspaces of V, then dim(W1+W2) =dimW1+dimW2-dim(intersec.)Lecture 30 If intersection of W1&W2 is {0], then dim(W1+W2) = dimW1+dimW2Section 6: Ordered BasisLecture 31 Assignment 1 Solved ExamplesLecture 32 Assignment 2 Solved ExamplesLecture 33 Assignmnet 3 Direct Sum of Subspaces(1)Lecture 34 Assignment 4 Direct Sum of Subspaces(2)Lecture 35 Assignment 5 Definition of Coordinate Vector with Solved ExamplesStudents of mathematics , Physics and Engineering, Graduates and Post Graduates Students.Download linkrapidgator.net:https://rapidgator.net/file/af59c67b730cc41321b66ba0e0405591/mpuda.Linear.Algebra.Part.2.part1.rar.htmlhttps://rapidgator.net/file/4eac15d35b2d291737b489da1227e9d5/mpuda.Linear.Algebra.Part.2.part2.rar.htmluploadgig.com:https://uploadgig.com/file/download/8bD8eddBF29f22cB/mpuda.Linear.Algebra.Part.2.part1.rarhttps://uploadgig.com/file/download/3B85608566544a13/mpuda.Linear.Algebra.Part.2.part2.rarnitroflare.com:https://nitroflare.com/view/C893D7382927A71/mpuda.Linear.Algebra.Part.2.part1.rarhttps://nitroflare.com/view/89766484EDE9725/mpuda.Linear.Algebra.Part.2.part2.rar1dl.net:https://1dl.net/8uehhinek6y4/mpuda.Linear.Algebra.Part.2.part1.rarhttps://1dl.net/x4inwx8omxpq/mpuda.Linear.Algebra.Part.2.part2.rar Link to comment Share on other sites More sharing options...
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