Diagonal matrix of eigenvalues

In the column-problem we compute the matrix of generalized column-eigenvectors B and the diagonal matrix of eigenvalues from ... 

L is a diagonal matrix of eigenvalues % P is the modal matrix whose columns are the % corresponding eigenvectors % Check that the results are correct... 

The orthogonal matrix Q transforms the real symmetric metric matrix M to its diagonal matrix of eigenvalues e ... 

To perform PCA, we need the complete set of eigenvectors, V, and eigenvalues, D, that diagonalize the square, symmetric variance-covariance matrix, Z, where D is the diagonal matrix of eigenvalues. 

Here A is the diagonal matrix of eigenvalues, and the columns of T are the eigenvectors of R and R2. However, Equation 12.3 cannot be solved directly as a GEP, since R and R2 are not square, full rank matrices. 

The matrix TT is symmetric and actually a diagonal matrix since the score vectors are orthogonal. Any real symmetric matrix can be written as the product of the transposed orthonormal eigenvector matrix, V, a diagonal matrix of eigenvalues, G, and V. 

MLR equation can be obtained by expressing it in terms of the matrix of eigenvectors, P, and the diagonal matrix of eigenvalues, diag(A/), as follows ... 

In this standard eigenvalue-eigenvector problem, the /th column of the matrix C contains the LCAO coefficients for MO (pi and E is a diagonal matrix of eigenvalues e, corresponding to the energy of each MO. 

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