Unformatted text preview: and be so that + , # $ ± ²3 + , ” • 1. 2. is symmetric? is Hermitian (i.e., self adjoint)? E. Give an example of a antiHermitian matrix with no zero entries. # ‚ # F. Do NOT read §3.3 or §3.4 of A&W, but, starting on page 212, do 4, 5 and 6. G. Let and (assume the basis is orthonormal). Compute the l Ù œ l Ù œ + @ + @ + @ a v Ô × Ô × Õ Ø Õ Ø " " # # $ $ following (remember, scalars are complex) and, if possible, compare each with : Ø l Ù a v 1. 2. 3. trace Ø l Œ l Ù l Ù Œ Ø l Ø l Œ l Ù a v v a a v & ± Read § 4. and § 4.4 in the notes, doing any intext or inH. $ Elementary Matrix Theory lecture exercises. Also skim §3.1 of A&W. Starting on page 174 of A&W, do # 1 and 2 (rewrite the system in “matrix/vector form” first, and think about what the problem is really about). Then do #6b on page 188....
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 Summer '11
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 Math, Linear Algebra, Matrices, Conjugate transpose, Elementary Matrix Theory, ‘Pauli spin matrices

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