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(Solved): Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspi eigenvalu ...



Find the characteristic equation of \( A \), the eigenvalues of \( A \), and a basis for the eigenspi eigenvalue.
\[
A=\left[
Find the characteristic equation of , the eigenvalues of , and a basis for the eigenspi eigenvalue. (a) the characteristic equation of (b) the eigenvalues of (Enter your answers from smallest to largest.) (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of basis for the eigenspace of basis for the eigenspace of


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In this problem, we have to find the eigenvalues and the basis for the eigenspace corresponding to the eigenvalues= for A,

  

To find the eigenvalues let us subtract    from each of the diagonal entries in the given matrix.

  

Now finding the determinant...
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