Find the eigenvalues and corresponding eigenvector of the matrix. A= [-4 4 8 ] [0 0 -10] [0 0 2 ] [1 -1 0] ~ [0 0 1 ] [0 0 0 ] I calculated by A = -[itex]\lambda[/itex]I So, [1-lamda -1 0 ] [0 -lamda 1] [0 0 -lamda] so, lamda = 0,0, and 1 So I got 1st eigen value: 0 eigen vector (1,1,0) 2nd eigen value: 0 eigen vector (1,1,0) 3rd eigen value: 1 eigen vector (1,0,0) 1st and 2nd values were right, but third one was wrong. I tried several times, and I always get 1(1,0,0) What do i need to do ? thanks
if you reduce the matrix, you change the eigenvalues, except for 0. don't reduce the matrix, find the characteristic polynomial of the original A.