12.5. EXERCISES 281
14. Find the eigenvalues and eigenvectors of the matrix 3 −2 −10 5 10 2 4
.
Determine whether the matrix is defective.
15. Find the eigenvalues and eigenvectors of the matrix 6 8 −234 5 −163 4 −12
Determine whether the matrix is defective.
16. Find the eigenvalues and eigenvectors of the matrix 5 2 −512 3 −1012 4 −11
.
Determine whether the matrix is defective.
17. Find the eigenvalues and eigenvectors of the matrix 20 9 −186 5 −6
30 14 −27
.
Determine whether the matrix is defective.
18. Find the eigenvalues and eigenvectors of the matrix 1 26 −174 −4 4−9 −18 9
.
Determine whether the matrix is defective.
19. Find the eigenvalues and eigenvectors of the matrix 3 −1 −211 3 −98 0 −6
.
Determine whether the matrix is defective.