Question

Characteristic polynomial for 3x3 matrix is what order

Answer 1

The characteristic polynomial for a 3x3 matrix is of order 3. It helps us find the eigenvalues of the matrix.

Step-by-step explanation:

The characteristic polynomial for a 3x3 matrix is of order 3.

The characteristic polynomial is a polynomial equation that helps us find the eigenvalues of a matrix. For a 3x3 matrix, we can find the characteristic polynomial by using the formula:

p(x) = det(A - xI)

Where A is the given matrix, x is the variable, and I is the identity matrix. The resulting polynomial will be of degree 3, making it a polynomial of order 3.