3d752888-e46f-435a-81d6-c6c0cae52542 24 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

F 289206433612880321611423013125122981283229 - 2000 - 756384100822448512128640064051212810532256504 - 384 - 756 - 800208287 - 16 - 1712128 - 196830 - 20322166 - 287 - 1565 - 512 - 551 - 1152 - 289 - 77 mat :

evs F Eigenvals evalf maple :

evs 37.9773 23.1745 29.7653 i * + 23.1745 29.7653 i * - 9.1045 - 35.9346 i * + 9.1045 - 35.9346 i * - 33.0586 - 15.3522 i * + 33.0586 - 15.3522 i * - 71 mat

x_o 00 o 10 o 20 o 40 o 4 - 0 o 2 - 0 o 1 - 0 o 73 mat :

Find the characteristic polynomial of the matrix F

x f F x minpoly maple :

x f1 F x charpoly maple :

x f 64 x * - 84 x 3^* + (21 x 5^* - x 7^+

x f1 64 x * - 84 x 3^* + (21 x 5^* - x 7^+

the eigenvalues of A are precisely the roots of f(x)

x f x_o 2 1 sys