Diagonalization Flashcards

1
Q

What is the modal matrix of a matrix A?

A

The modal matrix of a matrix A is the matrix composed of all eigenvectors of the matrix A.

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2
Q

What is the spectral matrix of a matrix A?

A

It is a diagonal matrix whose diagonal elements are the eigenvalues of A.

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3
Q

How do the M and D matrix relate to similarity of a matrix A to a diagonal matrix?

A

We find that A = M^-1DM, meaning D and A are similar with the P matrices being M

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4
Q
A
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