Diagonalize A 13 - [22] 42 O a. A = PDP-1 A = 3 50 P-[71] - [82] Р D 4 O b. A = PDP-1 ----[9] -4 1 P OC. A = PDP-1 P --[A] O d. A = PDP-1 1 --- -3 2 P ○e. A = PDP-1 1 3 1 P Of. A = PDP-1 02 P 1 0 0-3 [9] 03 P [] 04 -1 --[23]--[39] D 25 20 07

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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QUESTION 1
Diagonalize A
A =
1 3
42
O a. A = PDP-1
31
4 1
Ob. A = PDP-1
1
OC. A = PDP-1
P =
P =
P =
P =
3 1
O d. A = PDP-1
-4 1
P =
1 -
O e. A = PDP-1
P =
1 -
3 1
Of. A = PDP-1
D =
D =
1
-DA-B
D =
3 2
D =
5 0
0 -
D =
-5 0
- 1 0
0 -3
10
0 3
- 1
[]
-1 3
--[2]-[29]
D =
5
0
Transcribed Image Text:QUESTION 1 Diagonalize A A = 1 3 42 O a. A = PDP-1 31 4 1 Ob. A = PDP-1 1 OC. A = PDP-1 P = P = P = P = 3 1 O d. A = PDP-1 -4 1 P = 1 - O e. A = PDP-1 P = 1 - 3 1 Of. A = PDP-1 D = D = 1 -DA-B D = 3 2 D = 5 0 0 - D = -5 0 - 1 0 0 -3 10 0 3 - 1 [] -1 3 --[2]-[29] D = 5 0
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