Vector Spaces Explained | Linear Algebra

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We introduce the definition of a vector space, consisting of the 10 vector space axioms. We'll see examples of vector spaces and nonexamples of vector spaces and prove some of the vector spaces are indeed vector spaces. We finish by looking at some basic properties of vector spaces. #linearalgebra

0:00 Intro
0:42 Definition of a Vector Space
5:00 Example 1 (Zero Vector Space)
6:11 Example 2 (R^n)
6:58 Nonexample 1
7:50 Example 3 (Matrix Space)
9:32 Nonexample 2
11:05 Example 4 (Weird One)
15:33 Vector Space Properties
16:48 Basic Vector Space Properties

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Help me produce this course by joining Wrath of Math to access exclusive and early linear algebra videos, plus lecture notes at the premium tier!

WrathofMath
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Ah, now comes the good stuff. Carry on, maestro! 🎉😊

punditgi
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I can't comprehend this concept of Vector space 🫥

anurags
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Is the real number field is also an vector space? 🤔

RyanWeerasinghe
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Sir can you teach friedberg Linear Algebra

TheReal_Indian