# The characteristic polynomial of a matrix and its inverse

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Linear Algebra

Matrices

Eigen Values and Eigen Vectors(II)

If A = [1, -2 , 3; 2 , 3 , -1; -3 , 1 , 2] , then find the characteristic polynomial for the matrix.

Show how this can be used to find A^(-1).

The fully formatted problem is in the attached file.

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#### Solution Summary

It is an explanation for finding the Characteristic polynomial of a matrix and inverse of a matrix. It also explains for applying the Cayley Hamilton Theorem. The solution is given in detail.

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