Find the eigenvalues and eigenvectors of the following 3x3 matrix (reading left to right, top to bottom): (1 0 2 3 1 1 2 0 1)
The eigenvalues are given by the characteristic equation (1-x)((1-x)^2-4)=0, which gives the values x=1, x=-1 and x=3 . These eigenvalues correspond to the eigenvectors (0, 1, 0), (1, -1, -1) and (1, -5, 1) respectively.
JP
Answered by Joshua P. • Further Mathematics tutor
2718 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸find general solution to: x(dy/dx) + 2y = 4x^2
Solve the equation 3sinh(2x) = 13 - 3e^(2x), answering in the form 0.5ln(k). where k is an integer
A spring with a spring constant k is connected to the ceiling. First a weight of mass m is connected to the spring. Deduce the new equilibrium position of the spring, find its equation of motion and hence deduce its frequency f.
Find the eigenvalues for the matrix (4/2/3,2/7/0,-2/1/8)