Orthogonal Diagonalization and Similarity, Spectral Decomposition - Linear Algebra

19 days ago
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Science Education linear algebra symmetric matrices and orthogonal diagonalization orthogonal diagonalization singular value decomposition spectral theorem linear algebra orthogonal matrix diagonalization orthogonal diagonalization of symmetric matrices orthogonal matrices

This video explains the steps to the orthogonal diagonalization process of a symmetric matrix using a worked example. You will understand what is meant by it and how do you know if a matrix is orthogonally diagonalizable.

0:00 Orthogonal Diagonalizability
3:26 Symmetric matrices, properties
7:33 Orthogonal diagonalization process
16:06 Spectral decomposition, geometric interpretation

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