2x2 Theorem 4d: Suppose A E R has a complex eigenvalue A = a - bi e Cwith b 0 and a complex eigenvector z + 0 , that is A z = 1z. Then with B = {Re(2), Im(z)}, the B-matrix of T(x) = Ax is A' = %3D a

Advanced Engineering Mathematics
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Moreover, give a proof of
2x2
Theorem 4d: Suppose A E IR has a complex eigenvalue A = a - bi e C with b # 0
and a complex eigenvector z 0, that is A z = Az.
-6]
Then with B = {Re(z), Im(z)}, the B-matrix of T(x) = A x is A' =
Here you can trust that B is a basis.. or, optionally, include a proof for feedback.
Transcribed Image Text:Moreover, give a proof of 2x2 Theorem 4d: Suppose A E IR has a complex eigenvalue A = a - bi e C with b # 0 and a complex eigenvector z 0, that is A z = Az. -6] Then with B = {Re(z), Im(z)}, the B-matrix of T(x) = A x is A' = Here you can trust that B is a basis.. or, optionally, include a proof for feedback.
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