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ece495nf07hw4 - Problem 2 Form a(2x2 matrix[V each of whose...

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10/05/07 ECE 495N, Fall’07 MSEE B010, MWF 330P – 420P Fundamentals of Nanoelectronics HW#4: Due Friday Oct.12 in class. Problem 1: Consider a (2x2) matrix of the form A = cos θ sin θ e - i ϕ sin θ e + i ϕ - cos θ What are its eigenvalues? What are the corresponding eigenvectors ?
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Unformatted text preview: Problem 2: Form a (2x2) matrix [V] each of whose columns is one normalized eigenvector of [A]. Now calculate the matrix [B] = [V + ] [A] [V] where the superscript ‘+’ denotes Hermitian conjugate. Can you explain the relation between [B] and [A]?...
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