Answer by bubba for Eigenvalues and Eigenvectors of Large Matrix
As you observed, the eigenvalues of a matrix are the roots of its characteristic polynomial. This fact is useful in theory (and for getting a good grade in your linear algebra class :-) ), but, in real...
View ArticleAnswer by hardmath for Eigenvalues and Eigenvectors of Large Matrix
First, if you have a "block diagonal" matrix as in your example, the eigenvalues of the matrix are the combined eigenvalues of the smaller blocks on the diagonal. So, yes, in the case of the $4 \times...
View ArticleAnswer by Easy for Eigenvalues and Eigenvectors of Large Matrix
I think there is generally no easy method to find the eigenvalues as some of the matrices might even not have nice eigenvalues, like complex numbers in your case. For dimension higher than 5, it is...
View ArticleEigenvalues and Eigenvectors of Large Matrix
Computing eigenvalues and eigenvectors of a $2\times2$ matrix is easy by solving the characteristic equation. However, things get complicated if the matrix is larger.Let's assume I have this matrix...
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