Eigenvalue%20and%20Eigenvector:

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Ch6 Eigenvalues and Eigenvectors
Eigenvalue and Eigenvector
The number is said to be an eigenvalue of
the nxn matrix A provided there exists a nonzero
vector v such that v is called an
eigenvector of the matrix A. v is associated with
the eigenvalue
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Ch6 Eigenvalues and Eigenvectors
Characteristic Equation
It is a polynomial of order n. ( A is nxn)
Find the characteristic ploynomial
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Ch6 Eigenvalues and Eigenvectors
Eigenvalues
Eigenvalues of A are the roots of the
characteristic equation
Find all eigenvalues
Eigenvector
Find all eigenvectors
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Ch6 Eigenvalues and Eigenvectors
Remarks
Eigenspace