Linear Algebra Lecture 21 | Basis of a Vector Space

In this linear algebra lecture, I will talk about the basis of a vector space.

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Timestamps
0:00 Introduction
0:05 What is a basis
0:34 Standard basis for R^3
2:19 Standard Basis for R^n
2:35 Another basis for R^2
7:41 Basis for the set of polynomials with degree less than or equal to 3
8:52 Standard basis for the set of polynomials with degree less than or equal to n
9:00 Basis for the set of 2 by 2 matrices
9:30 Basis for the set of all m by n matrices
9:52 Standard basis for three vector spaces
10:41 Basis and Linear Independence
11:42 Why are the following linearly dependent
13:49 Number of vectors in a basis
14:56 Do these form a basis

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