Question

EIGEN VALUE-VECTORS 1) Find the eigenvalues and their corresponding eigenvectors of the matrix 1 3 2 ) A=| 10 -2 ) 2) Find the eigenvalues and their corresponding eigenvectors of the matrix Tunin o diaconal matrix. Can matrix A be

Please answer 1 and 2 with explanation.

Answer 1

Eigen values and eigen vectors. |(A-XI)| =0 | 3-2 a la lo 22-x| (3-X) (2-x) - 2(0)=0 (3-X) (2-x) = 0 ..^, = 3 , 12 = -2

Eigen vectors. for d=3 (A-7, I) v=0 Rzy Rz +5R, оо *** (8.10) Nao and X,= x *= (%) = 2 (6) let X=1

d=-2 (A-de I) V=0 aimmilla (. :)) 2, + 2 = 0 in a = -22 = *** (**) - 2) let 2 =1 i. For A=3 1, = -2