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Given a matrix A = PDP-¹ with [1 2] 5 3 Р = P= then find all matrices P and D below that also satisfy that A = PDP-1 Note: Choose all the correct answers. -1 4] -5 6 -1 41 -5 6 2 Р P = [10 -21 -3 and D= and Ď and D= [2 07 D = [²3], 0 and Ď Ď= 2 03 [30] 02 [30] 02

Given a matrix A = PDP-¹ with [1 2] 5 3 Р = P= then find all matrices P and D below that also satisfy that A = PDP-1 Note: Choose all the correct answers. -1 4] -5 6 -1 41 -5 6 2 Р P = [10 -21 -3 and D= and Ď and D= [2 07 D = [²3], 0 and Ď Ď= 2 03 [30] 02 [30] 02

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given a matrix A = PDP-¹ with (3) [1 2] 5 3 P = [ -= 13 then find all matrices P and D below that also satisfy that A = PDP-1 Note: Choose all the correct answers. -1 41 P = [13] Р -5 6 P = 10 P = P = -1 4] -5 6 || 2 -21 - -3 [2 P= = ܥ ܘ [4 3 6 15 3 5 and D= and Ď= = and Ď= and Ď and D- Ď= 2 0 03 and Ď Ď= - [8 [30] 0 2 3 0 02 -13 [2 01 0 3 2 0 [1391] [2 07 0 0 3
Transcribed Image Text:Given a matrix A = PDP-¹ with (3) [1 2] 5 3 P = [ -= 13 then find all matrices P and D below that also satisfy that A = PDP-1 Note: Choose all the correct answers. -1 41 P = [13] Р -5 6 P = 10 P = P = -1 4] -5 6 || 2 -21 - -3 [2 P= = ܥ ܘ [4 3 6 15 3 5 and D= and Ď= = and Ď= and Ď and D- Ď= 2 0 03 and Ď Ď= - [8 [30] 0 2 3 0 02 -13 [2 01 0 3 2 0 [1391] [2 07 0 0 3
0 [2 1] 3 5 P-B P = 4 37 P-5 P = 6 15 P= and Ď= 2 -2] 10 -3 and Ď= [3 01 0 2 [30] 0 2 and Ď= [2 0] 3
Transcribed Image Text:0 [2 1] 3 5 P-B P = 4 37 P-5 P = 6 15 P= and Ď= 2 -2] 10 -3 and Ď= [3 01 0 2 [30] 0 2 and Ď= [2 0] 3
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