Скачать с ютуб Vector spaces | Linear algebra episode 1 в хорошем качестве

Vector spaces | Linear algebra episode 1

#vectors #linearalgebra What does the word "linear" mean, in terms of both algebra and geometry? In this video, we explore the rules for vector spaces. Along the way, we will talk about music, chaos theory, apples and oranges, quantum physics, and more. Here you can find the music you heard in the video:   / geert-van-damme-289809712   Please support our channel on Patreon, and get early access to new videos: https://www.patreon.com/user?u=86649007 [3B1B 1]    • Essence of linear algebra   The essence of linear algebra. The de facto starting point if you want to learn more. [MTB1]    • Part 1 Linear Algebra: An In-Depth In...   Math the Beautiful. Detailed, very well explained. A great resource for beginners. Heavy focus on geometry rather than specific coordinates. [SUDG1]    • Why do we care about vectors?  From Z...   Over time, this is going to turn into a great reference on geometric algebra. But the introductory videos already give a very detailed account of how vector spaces work. The explanation is easy to follow, and starts from absolute zero. [VIS1]    • What is...a vector space?   The abstract definition of a vector space, followed by many concrete examples such as arrows, polynomials, and matrices. [BRIGHT1]    • Linear Algebra 1 | Introduction   This is a more formal and advanced introduction to vector spaces. Good if you already have a background. [CTC1]    • Human Beings Can Solve THIS Better Th...   Solving a sudoku by counting degrees of freedom. 0:00 Introduction 1:31 What does "linear" mean? 4:32 Non-linear systems 5:36 Applications (physics, AI, music) 8:51 The rules of vector algebra 11:50 Quantum superposition 14:00 Arrows are geometric vectors 15:48 How to subtract vectors 17:37 Linear combinations & spans 20:40 Degrees of freedom & constraints 23:08 Basis vectors 29:00 Coordinates are basis-dependent 32:54 The map of linear algebra This video is published under a CC Attribution license ( https://creativecommons.org/licenses/... )