Chapter 2.4 Determinants-Applications

It is equivalent to the homogeneous system a in x 0 a

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Unformatted text preview: omogeneous system: (A − λIn )x = 0. A value of λ for which this homogenous system has non-trivial solutions is called an eigenvalue of A. λ is an eigenvalue of A if and only if det(A − λIn ) = 0. We call this the characteristic equation of A. Its zeros are precisely the eigenvalues of A. Outline The Classical Adjoint A Formula for the Inverse of a Matrix Example Example Find the eigenvalues of the matrix: A= 15 2 −2 Cramer’s Rule Eigenvalues...
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