Dimension of a Vector Space | Linear Algebra

We define the dimension of a vector space by first looking at some important facts concerning the number of vectors in a basis for a vector space. We then see some familiar examples of vector spaces and their dimensions, including R^n, Pn, and Mmn, and finish by finding the dimension of the solution space of a homogenous linear system. #linearalgebra

Linear Algebra course:    • Linear Algebra  
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0:00 Intro
1:23 All Bases have the Same Number of Vectors
2:04 Definition of Dimension
2:40 Examples in Familiar Vector Spaces
5:00 Dimension of a Solution Space
8:30 Conclusion

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