Eigenvalues and Eigenvectors, Eigenspaces, Basis vectors - Linear Algebra

2 months ago
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Science Education linear algebra eigenvalues eigenvectors eigenvalue eigenvalues and eigenvectors eigenvalues and eigenvectors 3x3 how to find the eigenvalues and eigenvectors eigenvalues and eigenvectors of a 3x3 matrix bases and eigenvalues

This video explains eigenvalues and eigenvectors, including what is meant by them and what they tell us using the formula, definition and geometric interpretation, how do you find them for a 2x2 matrix. The formula is easily extended to a 3x3, diagonal and upper triangular matrix based on how the determinant is calculated.

0:00 Definition of eigenvalues and eigenvectors
1:54 Calculating eigenvalues
7:22 Eigenvectors, eigenspaces and basis vectors
12:42 Geometric interpretation
14:43 Eigenvalues and eigenvectors of matrix powers

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