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22. Comber the matrix A-5 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts
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Answer #1

- 5 A= 6 2 O 0 1 Let a be the eigen value of A. 6- 2 - 5 O - S-1 =0 O - 6 1 - (2-1)(2+5) (0-6)=0 n=1 T be the eigen valves, 1© 2-1 eigen recten Let x, be the AX-A, X 6 2-5 o - 6 1 ) 12 13 x 522 = 12 12 20 622 +23 = x3 22=0 621 +222 -523 = 52, +222 -621 +222 -5a3a-501 - 112 = 323 ) 21 3 11 23 3 X 2 = བ| ས པ་ 1 ler YB be the eigenrectn fen 23a6 .6 2 - 5 121, 12 6 AL 0 - 1 2

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