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Question: Distribute Hermitian Transpose

Question:Distribute Hermitian Transpose

Art Kalb 237 Maple
vector conjugate
August 25 2023
2

Hi,

I'm trying to figure out how to get the HermitianTranpose vector to distribute over a sum of vectors. Maple seems to want to ignore the linearity of the conjugate operation.

See the example code attached.

Thanks.
 

alp := [a, b, c, d, e]

[a, b, c, d, e]

 (1)

u[a] := Vector(5, proc (m) options operator, arrow; u[alp[m], a] end proc)

u[b] := Vector(5, proc (m) options operator, arrow; u[alp[m], b] end proc)

u[c] := Vector(5, proc (m) options operator, arrow; u[alp[m], c] end proc)

u[d] := Vector(5, proc (m) options operator, arrow; u[alp[m], d] end proc)

u[e] := Vector(5, proc (m) options operator, arrow; u[alp[m], e] end proc)

NULL

NULL

NULL

N := r[a]*u[a]+r[b]*u[b]+r[c]*u[c]+r[d]*u[d]+r[e]*u[e]

Vector[column](%id = 36893490335086041316)

 (2)

``

LinearAlgebra:-HermitianTranspose(N)

Vector[row](%id = 36893490335105454316)

 (3)

NULL


 

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