Question

Your answer is partially correct. Try again. Find the characteristic equation, the elgenvalues, and bases for the elgenspaces of the following matrix: [ 1 0 -21 0 0 0 1-4 08] Click here to enter or edit your ans The characteristic equation is Enter eigenvalues in increasing order Eigen values Bases for the eigenspaces 10,1,0), (2, 0, 1) (-1,0,4) SHOW HINT

Answer 1

Let A-110-27 o o o 1-40-8 considero LA-dl=0 pad 0 - 2 To od oto : (=1) (-168-40) - O -26-41) (1-2)(-84 +12) +84 =0 -84+12+812_1348430 :: -13+912 = 0 onde (+9=0 A=0, 0, qane eigenvalues Of A Eigenvectars comsponding d = 0 comsider (A-01)X = 5 -10 -27% = 10 -408 L By R344R1 1 0 -2 11 m oooled put = t_$9=5] .: 9-2250 :: (1=2 €) Fisen tace (ao) = { +f*4** ?] lstery

1.: Basis is $(2,0,2, 60,1,0) } Dl El genrector for deg Consider (A-91)X = 7 *T-8 0 -2760 0 3 0 || | | BY TRUL O it 1847 by. Ti o Ratges 0 o 14 77% 7lo7 u Š o -9 -9 Hai R3+4R1 10 g Olio : 2+1zzo y=0 -gyzo Put z=t - 93 - Basis is { (-44, 017} thust Eigenvalues Bases {(20,2 (040) {(+91)}