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Characteristic equation of a matrix and inverse of a matrix

Problem:

Characteristic equation of a matrix and inverse of a matrix

Eigen Values and Eigen Vectors(I)

Find the characteristic equation of the matrix

                       A = [ 1   3   7]
                              [ 4   2   3]
                              [ 1   2   1]

Show that the equation is satisfied by and hence obtain the inverse of the given matrix.

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Algebra: Characteristic equation of a matrix and inverse of a matrix

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