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A = 2 0 T -2 2 c=[12] 0 1 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 -1 Ce₁ -1 Ae₂ Ce₂ 0 0 Ae₁ 1 1 2 2 B = N O -1 -2 D = 2 -1 -2 -2 [0.5 0.5] 0.5 0.5 -2 -1 -1 0.433 0.250] -0.250 0.433] Be₂ k 0 Be₁ 1 De₂ De 1 2 2

A = 2 0 T -2 2 c=[12] 0 1 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 -1 Ce₁ -1 Ae₂ Ce₂ 0 0 Ae₁ 1 1 2 2 B = N O -1 -2 D = 2 -1 -2 -2 [0.5 0.5] 0.5 0.5 -2 -1 -1 0.433 0.250] -0.250 0.433] Be₂ k 0 Be₁ 1 De₂ De 1 2 2

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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A = 2 0 ņ -2 2 C= c=[2] 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 Cei -1 Ae₂ Ce₂ Ae₁ 01 0 1 N 2 B = N - O -1 -2 D = ņ 2 -2 -2 -1 [0.5 0.5] [0.5 0.5] -2 -1 0.433 0.250] -0.250 0.433 Be₂ Be₁ 0 1 0 De₂ De 1 2 2 E = 2 1 0 -1 -2 -2 22 [0.866 -0.500 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2
Transcribed Image Text:A = 2 0 ņ -2 2 C= c=[2] 0 -1 [0.5 0.0] 0.0 2.0 -2 -2 -2 Cei -1 Ae₂ Ce₂ Ae₁ 01 0 1 N 2 B = N - O -1 -2 D = ņ 2 -2 -2 -1 [0.5 0.5] [0.5 0.5] -2 -1 0.433 0.250] -0.250 0.433 Be₂ Be₁ 0 1 0 De₂ De 1 2 2 E = 2 1 0 -1 -2 -2 22 [0.866 -0.500 0.500 0.866 Ee₂ -1 0 Ee₁ 1 2
Calculate or determine the following: • Whether or not the matrix is orthonormal (recall definition from lec 13) • The determinant • Whether or not the matrix is invertible (you do not need to compute the inverse) • The trace (recall definition from lec 16) The eigenvalues and eigenvectors (recall examples we did on whiteboard in lec 16)
Transcribed Image Text:Calculate or determine the following: • Whether or not the matrix is orthonormal (recall definition from lec 13) • The determinant • Whether or not the matrix is invertible (you do not need to compute the inverse) • The trace (recall definition from lec 16) The eigenvalues and eigenvectors (recall examples we did on whiteboard in lec 16)
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