# Characteristic equation of a matrix and inverse of a matrix

Linear Algebra

Matrices

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.

The fully formatted problem is in the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:27 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/characteristic-equation-matrix-inverse-matrix-45432

#### Solution Preview

The solution of the Posting is in the attached file.

Thanks for using BrainMass.com. Have a great day.

Linear Algebra

Matrices

Eigen Values and Eigen Vectors(I)

By:- Thokchom Sarojkumar Sinha

Find the characteristic equation of the matrix

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

Solution:- The characteristic equation of is

...

#### Solution Summary

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