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This theorem relates all of the major topics we have studied thus far.

Exercise Set 7.1

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   Find the characteristic equations of the following matrices:
1.

       (a)

       (b)

       (c)

       (d)

       (e)

       (f)

   Find the eigenvalues of the matrices in Exercise 1.
2.

   Find bases for the eigenspaces of the matrices in Exercise 1.
3.

       Find the characteristic equations of the following matrices:
4.

           (a)

           (b)
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