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Unformatted text preview: ( A T B ) with tr( C ) = n X i =1 c ii , c = [ c ii ] 1 ≤ i ≤ n. Construct the inner product of A = 6 2 4 13 9 11 5 17 1 3 8 10 17 16 15 14 and B = 6 24 13 911 5171 38 10 1716 1514 Given matrices V,W ∈ C n × n (square matrices with complex elements) the inner product h V,W i is deﬁned as: h V,W i = tr ( V † W ) . Construct the inner product of V = 6 + i 1 + 2 i 3 + 4 i 3i 9 12 i 2 + 3 i 1i i 32 i 8 54 i 1 + i 7 6 + 5 i 97 i and W = 6 + ii 2i 4 + i i1i1 2 i 87 i 10i 2 + 5 i7 7 i Problem 5 (20 points) Construct the tensor and the outer products of the matrices A and B in Problem 4....
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 Fall '08
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 Computer Science, Vector Space, Complex number, cII, Hilbert space, inner product, de Moivre

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