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Question 2 [10 points] Find an invertible matrix P and a diagonal matrix D such that...

Question 2 [10 points] Find an invertible matrix P and a diagonal matrix D such that P-AP=D. [ 13 0 5 0 -12 0 0 6 1-30 0 -12

Question 2 [10 points] Find an invertible matrix P and a diagonal matrix D such that P-AP=D. [ 13 0 5 0 -12 0 0 6 1-30 0 -12 0 | 32 0 10 -3) A = 1 P= To o o o 0 0 0 0 0 0 0 0 0 0 0 0 0 o o o o 0 0 0 0 0 0 0 0 0 0 0 0
0 0
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given 113 o d on 1-12 o . 6. A = 1-30 .-12 Opel L.32 o 1o 3] find elgenvalues of matrin A |--|-o . 1 13rd o s ol .-12 ondo beigenvector for A = -2 LIS 0. 5 0.9 1-12 ao 1306 -10ol 32oofo- Lng - n - osny 200 na o : alz = -15 Mine V = 1057 eigenvector0.5140 ng=0 ng tng co s 10.5 elgen vector for. d = -3 116. o s o Tour |-19 3 0 6 1 ngle 1-30 o- golm 1 3 3 0 [o o]Lºg | Jo 1! Diagonal matots Sool 1.0 o 3 oL Lo o 0-3 0.5 0.5 o 11. ö - na - 15 rhinol Iloi il 4 LO 2 4 0 0 16 0 B 0 -2 0 - A = pap . .

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