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1. For each of the following linear operators T:V + V, find the Jordan canonical form together with a Find the Jordan canonic

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Answer #1

Salūlion; given that i a. The map T: Rr R by Tv) =AV ſo -3 127 A = -2 I 12-T 1-2 1- 12 L-9 -3 4 000- 1o-3 1275 a 7 - 21 -12oMAINME del (A - XI)=0 1-2 -3 । -२ - - ३ 30, -२ । -1-22 -2 -3 by apply c c + cy live have |-2+२ -3 । २ । 01-- २ ० । -1-2230 i(3- А) | 1-д - э т-1-2 о о ) - (а-) JA°-1+1] =а н?л-)*-о Mlow constant A (€1–2]) - 02- Qө По-3 21 (o -3 2 1 Го -312 1-3 - 2 -The Jordan Canonical form of T be Согоо\ оооо Oogo ооо bo T: BCR) → B CTR ) given t (f(x)) = f(a) +2 f(x) то) - 0-+ = 2 - .looool loooo Toooo looool The minimal polynomial be vo (1-31 ) x = 0 o ogora o o o 6 a a3 Oo oo o ooolay Rez=0 &z=0 6xy=0 du=

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