Eigenspaces and their Bases | Linear Algebra

We go over what the eigenspace corresponding to an eigenvalue is, we see the definition of eigenspace, several ways to think of eigenspaces, a geometric view of eigenspaces, and do a 2x2 example of finding bases for the eigenspaces and a 3x3 example of finding bases for the eigenspaces. #linearalgebra
Linear Algebra course: • Linear Algebra
Linear Algebra exercises: • Linear Algebra Exercises
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0:00 Intro
0:20 Definition
1:40 Infinitely Many Eigenvectors
1:56 Alternate Views of Eigenspaces
2:57 Bases for Eigenspaces of 2x2 Matrix
7:53 Geometrical View of Eigenspaces
9:25 Bases for Eigenspaces of 3x3 Matrix
13:55 Conclusion
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