By Kardi Teknomo, PhD .
LinearAlgebra

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Spectral Decomposition

Diagonalization of a real symmetric matrix is also called spectral decomposition, or Schur Decomposition. Given a square symmetric matrix Spectral Decomposition , the matrix can be factorized into two matrices Spectral Decomposition and Spectral Decomposition . Matrix Spectral Decomposition is an orthogonal matrix Spectral Decomposition . Matrix Spectral Decomposition is a diagonal matrix . Spectral decomposition is matrix factorization because we can multiply the matrices to get back the original matrix Spectral Decomposition .

The interactive program below yield three matrices Spectral Decomposition , Spectral Decomposition and matrix Spectral Decomposition and also gives you feedback on Spectral Decomposition . Random example will generate random symmetric matrix.

Yes, this program is a free educational program!! Please don't forget to tell your friends and teacher about this awesome program!

See also : Matrix Eigen Value & Eigen Vector for Symmetric Matrix , Similarity and Matrix Diagonalization , Symmetric Matrix , Singular Value Decomposition

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