Question

How exactly do I enter the answer since it looks like the answer is supposed to be a pair of matrices.

5. [0/1 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.3.045. MY NOT Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...), where each row is a comma-separated list.) 7 V7 1 A = = 1 (P. PAP) = Need Help? Read It Talk to a Tutor Submit Answer

Answer 1

A 2 7 E N D Let a be its eigen value EN +] Then EN N 1:A-1121 = 0 -> 17-4 vi 1-A -Y (7-2)(1-2) -7 - 0 7 -2~71 +12-7-0 27 72-81 eo a (9-8) 20 2} 2 2018 eigen veetor is, v2 ine. zy AV 20 2) 7 57 V20 >> for o L® ] AV AQE

The augmented matsein is, R2² R2 - FR L *13] 4-ing513 1 - 0 0 0 ... will have 2+ y TO V2 9. V7 ។ y = 22 [*] :: The eigen vector corresponding to a = o is for 128, let the eigen vector be va sa iie. Av = 8v => (A - 8 T,)v 20 [ 3] 7-8 VO S7 1-8 J7 V.0. -7 1 O 1 10 -7 0 0 Olo CE JE Augmented mattis iš 7. vi RyR+R -27 vjY=0 -> 2= =S7y :. The eigen vector cojoresponding to ge8 is Pz [ * ] ie. Vs Theis we have 13 * Di V7 2

..P-AP EN 5 2 年-1 t 七 4-1[公 Lustere ***-1 [...] 7 -| 牙 | JF EN 807 2 18 8F-807 2 一 - [. -j || 。 [。 -803-9 [。 (py PHP) [- ],[1,],[[o, o] [o.g] 0 ) 0 2 diag (0,8) 之 08 8 +1 ,

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