What is the modal matrix of a matrix A?
The modal matrix of a matrix A is the matrix composed of all eigenvectors of the matrix A.
What is the spectral matrix of a matrix A?
It is a diagonal matrix whose diagonal elements are the eigenvalues of A.
How do the M and D matrix relate to similarity of a matrix A to a diagonal matrix?
We find that A = M^-1DM, meaning D and A are similar with the P matrices being M