Question

Characteristic equation is given then what is a inverse of the matrix

Answer 1

Step-by-step explanation:

The equation det (M - xI) = 0 is a polynomial equation in the variable x for given M. It is called the characteristic equation of the matrix M. You can solve it to find the eigenvalues x, of M. The trace of a square matrix M, written as Tr(M), is the sum of its diagonal elements.

Answer 2

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In linear algebra, the characteristic polynomial of a square matrix is a polynomial. Given a square matrix A, we want to find a polynomial whose zeros are the eigenvalues of A.