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# Characteristic equation of a matrix and inverse of a matrix

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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.

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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.

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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

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###### Education
• BSc, Manipur University
• MSc, Kanpur University
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