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To 1] Let A = Find the Characteristic Polynomial, and compute the Eigenvalues: They are (note i = v-1) is the imaginary "unit"): %3D O p(A) = X2+21 +1=A1 = -1, and A2 =-1, O p(A) = X2 -1 =-1, and A2 1 O p(A) = X2- 2+1 = 1, and A2 = 1 Op(A) = X² +2A + 2 A1 = -1+i, and A2 = -1-i Op(A) = X2 - 2A + 2 A1 = 1+i, and A2 = 1-i O p(A) = X2 +1 A =i, and A2 = -i %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D

To 1] Let A = Find the Characteristic Polynomial, and compute the Eigenvalues: They are (note i = v-1) is the imaginary "unit"): %3D O p(A) = X2+21 +1=A1 = -1, and A2 =-1, O p(A) = X2 -1 =-1, and A2 1 O p(A) = X2- 2+1 = 1, and A2 = 1 Op(A) = X² +2A + 2 A1 = -1+i, and A2 = -1-i Op(A) = X2 - 2A + 2 A1 = 1+i, and A2 = 1-i O p(A) = X2 +1 A =i, and A2 = -i %3D %3D %3D %3D %3D %3D %3D %3D %3D %3D

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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ul T-Mobile 2:44 AM 37% Let A = Find the Characteristic Polynomial, and compute the Eigenvalues: They are (note i = v-1) is the imaginary "unit"): O p(A) = X2+ 21 +1=Aj = -1, and A2 = -1, O p(A) = X2-1 =-1, and A2 = 1 O p(A) = X² – 24 +1=A, = 1, and A2 = 1 O p(A) = X² +2A + 2 A1 = -1+i, and A2 = -1-i O p(A) = X2 - 2A +2 A1 = 1+i, and A2 = 1-i O p(A) = X2 + 1=A1 = i, and X2 = -i F3 O00 F4 F5 F7
Transcribed Image Text:ul T-Mobile 2:44 AM 37% Let A = Find the Characteristic Polynomial, and compute the Eigenvalues: They are (note i = v-1) is the imaginary "unit"): O p(A) = X2+ 21 +1=Aj = -1, and A2 = -1, O p(A) = X2-1 =-1, and A2 = 1 O p(A) = X² – 24 +1=A, = 1, and A2 = 1 O p(A) = X² +2A + 2 A1 = -1+i, and A2 = -1-i O p(A) = X2 - 2A +2 A1 = 1+i, and A2 = 1-i O p(A) = X2 + 1=A1 = i, and X2 = -i F3 O00 F4 F5 F7
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