The characteristic polynomial of A is indeed x + 2.

An alternative strategy is to use the characteristic polynomial of matrix A.

The close relations between these conditions and coefficients of the characteristic polynomial can be simply determined.

Also all such eigenvalues are simple roots of the characteristic polynomial.

Its characteristic polynomial is which has one real root .

The matrix A and its transpose have the same characteristic polynomial.

To illustrate, consider the characteristic polynomial in the previous example again:

Accordingly it has a characteristic polynomial, whose roots are the eigenvalues.

Let us also mention that similar identity can be given for the characteristic polynomial:

The characteristic polynomial of this endomorphism has the following form:

Let be Sturm series associated to a characteristic polynomial .

The characteristic polynomial of the Klein graph is equal to .

The characteristic polynomial of a linear operator is an example of this.

In linear algebra, every square matrix is associated with a characteristic polynomial.

The characteristic polynomial is defined by the determinant of the matrix with a shift.

Find the roots of the characteristic polynomial of 'A'.

This is because the roots of its characteristic polynomial are either real, or complex conjugate pairs.

Jury criterion determines the discrete system stability about its characteristic polynomial.

If the matrix is small, we can compute them symbolically using the characteristic polynomial.

In general, the solution will be n complex numbers where n is the order of the characteristic polynomial.

Then he studied the roots of the characteristic polynomial , where .

Two similar matrices have the same characteristic polynomial.

The minimal polynomial is often the same as the characteristic polynomial, but not always.

In practice, eigenvalues of large matrices are not computed using the characteristic polynomial.

Another one is a simple relation between the characteristic polynomials of a graph and its line graph.