Eigen Value and Eigen Vector in Matlab

Post date: Mar 11, 2018 6:10:36 AM

Eigen Value and Vector:-

To find only the eigenvalues, use the command eig() where your matrix is within the parenthesis. The result is a vector which we have chosen to call e. Note that in this case we have two complex eigenvalues (1+I, 1-i) and one real eigenvalue (-2).

A=[5 -2 -2; 7 -4 -2; 3 1 -1]

A =

5 -2 -2

7 -4 -2

3 1 -1

e=eig(A)

e =

+ 2.0000i

- 2.0000i

-2.0000 + 0.0000i

[V,D]=eig(A)

V =

0.3536 + 0.3536i 0.3536 - 0.3536i -0.0000 + 0.0000i

0.3536 + 0.3536i 0.3536 - 0.3536i -0.7071 + 0.0000i

0.7071 + 0.0000i 0.7071 + 0.0000i 0.7071 + 0.0000i

D =

1.0000 + 2.0000i 0.0000 + 0.0000i 0.0000 + 0.0000i

0.0000 + 0.0000i 1.0000 - 2.0000i 0.0000 + 0.0000i

0.0000 + 0.0000i 0.0000 + 0.0000i -2.0000 + 0.0000i