Question

Matrix A^2 = [56, -40 | 20 -4] (A11 = 56, A12 = -40) is a 2x2 matrix. Find the eigen values and vectors of matrix A.

Answer 1

How to calculate eigen values of a matrix? To find the eigenvalues of a matrix, calculate the roots of its characteristic polynomial. Example: The 2x2 matrix M=[1243] M = [ 1 2 4 3 ] has for characteristic polynomial P(M)=x2−4x−5=(x+1)(x−5) P ( M ) = x 2 − 4 x − 5 = ( x + 1 ) ( x − 5 ) .