Matrices for Engineers
By Allan D. Kraus

7.11: THE MODAL MATRIX

7.11 THE MODAL MATRIX

A square matrix of order n can be formed from the eigenvectors of the n n square matrix A. This vector is called the modal matrix of A and is designated by M


Example 7.11

In example 7.6, it was shown that the matrix


possesses three eigenvalues


Each of these eigenvalues is associated with an eigenvector


This linearly independent set of column vectors can be used to form the modal matrix of A by setting ? 1 = ? 2 = ? 3 = 1


Copyright Oxford University Press, Inc. 2002 under license agreement with Books24x7
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