Hermitian and Unitary Matrices, Complex Matrix Diagonalization - Linear Algebra

3 months ago
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Science Education linear algebra hermitian matrix complex matrices unitary matrix hermitian matrices unitary matrices hermitian examples of hermitian matrix hermitian matrix example

This video explains complex matrix diagonalization, including the conjugate transpose, what is a hermitian and unitary matrix (examples 2x2 and 3x3), skew symmetric and skew hermitian matrices, and their eigenvalues and eigenvectors. You will understand under what conditions are complex matrices diagonalizable, and difference between unitary and orthogonal.

0:00 Conjugate transpose
4:03 Hermitian Matrices
9:40 Unitary matrices
14:59 Unitary diagonalizability
17:07 Unitary diagonalization process
23:22 Skew symmetric and skew hermitian matrices

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