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For the matrix A, find (if possible) a nonsingular matrix P such that p-AP is diagonal. (if not possible, enter IMPOSSIBLE.)
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2 -2 3 A - 2 Charalestic equation (A-131–0 . 2 -> - 2 3-7 -2 2-7 ---3/8=-»1-2) +L•)*s[0]=0 (2->)[6-37-22 +24-2) = 0 (2-[ -57+2 - 2 3 - 2 O 6 perfoun R3 B3-R2 - 2 - 2 3 - 2 o hee con coute et in ondrix Jon, -2 - 2 3 2 O ។ -0 ) Let 2=t then -y-22=0 .:For d2=1 - 2 3 0 2 - 2 6 - perform R3 = R₂ + R2 2 3 2 o 2 0 he can heat in merix Jomar, - 2 - 2 - 2 13 2 6 Let 2- t 24 +-2 22for 7=2 perform 0 Ri - 1 / 1 - 2 3 - 2 o o 1-3/2 oo -12 . o perfon R2 R2 + RI 2 3 perform R,R,-322 -Y2 o -12 0 . and R3 R3-R1therefror malorx p can be written an Fila - 1 P= - 2 :) 0 Find prl In augmented Join mainoxp can be wretters an -1 1 00 1 2prfon K3 - — — - 1 •17 за ча -17 о 47 о б 17 - 17 • 2/a Рим из чег - 322 - 2, +7 | 1 о 3) 11 4), – 2. -2 -3 2 peform R 27 +7perfon R, > R, م (به 1 ч з 6 - 14 43 1/3 о -/, - о — Эlo ром м K, PR, - e@o -/+ 3 о о V, V, 3, -у, с. р- о - - /s 2 6 12 2/3.: ptap O 0 O o 2 Her prap is Simler to Ceagonal of & the matrix A. Hence verfied eyenrales

Note- please find me in comment box if you find any difficulty, very lengthy question. Good luck

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