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- Modal_matrix abstract "In linear algebra, the modal matrix is used in the diagonalization process involving eigenvalues and eigenvectors.Assume a linear system of the following form: where X is n×1, A is n×n, and B is n×1. X typically represents the state vector, and U the system input.Specifically the modal matrix M is the n×n matrix formed with the eigenvectors of A as columns in M. It is utilized in where D is an n×n diagonal matrix with the eigenvalues of A on the main diagonal of D and zeros elsewhere. (note the eigenvalues should appear left→right top→bottom in the same order as its eigenvectors are arranged left→right into M)Note that the modal matrix M provides the conjugation to make A and D similar matrices.".
- Modal_matrix wikiPageID "17573081".
- Modal_matrix wikiPageRevisionID "506314265".
- Modal_matrix hasPhotoCollection Modal_matrix.
- Modal_matrix subject Category:Matrices.
- Modal_matrix type Abstraction100002137.
- Modal_matrix type Arrangement107938773.
- Modal_matrix type Array107939382.
- Modal_matrix type Group100031264.
- Modal_matrix type Matrices.
- Modal_matrix type Matrix108267640.
- Modal_matrix comment "In linear algebra, the modal matrix is used in the diagonalization process involving eigenvalues and eigenvectors.Assume a linear system of the following form: where X is n×1, A is n×n, and B is n×1. X typically represents the state vector, and U the system input.Specifically the modal matrix M is the n×n matrix formed with the eigenvectors of A as columns in M. It is utilized in where D is an n×n diagonal matrix with the eigenvalues of A on the main diagonal of D and zeros elsewhere.".
- Modal_matrix label "Modal matrix".
- Modal_matrix sameAs m.04655b5.
- Modal_matrix sameAs Q6888018.
- Modal_matrix sameAs Q6888018.
- Modal_matrix sameAs Modal_matrix.
- Modal_matrix wasDerivedFrom Modal_matrix?oldid=506314265.
- Modal_matrix isPrimaryTopicOf Modal_matrix.