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LinearAlgebra[Modular][Transpose] - compute the transpose of a mod m Matrix or Vector
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Calling Sequence
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Transpose(m, A, inplace)
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Parameters
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m
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modulus
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A
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mod m Matrix or Vector
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inplace
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(optional) keyword for inplace operation on square Matrix
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Description
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The Transpose function returns the transpose of the input mod m Matrix or Vector.
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It uses the more flexible mod m Copy function to compute the transpose.
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If A is a square Matrix, the transpose can be performed in-place.
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This command is part of the LinearAlgebra[Modular] package, so it can be used in the form Transpose(..) only after executing the command with(LinearAlgebra[Modular]). However, it can always be used in the form LinearAlgebra[Modular][Transpose](..).
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Examples
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![with(LinearAlgebra[Modular])](/support/helpjp/helpview.aspx?si=4524/file06089/math94.png)
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![M := Mod(p, Matrix(3, 4, proc (i, j) options operator, arrow; rand() end proc), integer[])](/support/helpjp/helpview.aspx?si=4524/file06089/math105.png)
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![M := Matrix([[77, 96, 10, 86], [58, 36, 80, 22], [44, 39, 60, 39]])](/support/helpjp/helpview.aspx?si=4524/file06089/math108.png)
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![Matrix([[77, 58, 44], [96, 36, 39], [10, 80, 60], [86, 22, 39]])](/support/helpjp/helpview.aspx?si=4524/file06089/math115.png)
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 options operator, arrow; rand() end proc), float[8])](/support/helpjp/helpview.aspx?si=4524/file06089/math119.png)
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](/support/helpjp/helpview.aspx?si=4524/file06089/math122.png)
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](/support/helpjp/helpview.aspx?si=4524/file06089/math129.png)
| (5) |
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 options operator, arrow; rand() end proc), float[8])](/support/helpjp/helpview.aspx?si=4524/file06089/math133.png)
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](/support/helpjp/helpview.aspx?si=4524/file06089/math136.png)
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](/support/helpjp/helpview.aspx?si=4524/file06089/math143.png)
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](/support/helpjp/helpview.aspx?si=4524/file06089/math150.png)
| (8) |
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| (9) |
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![M := Matrix([[43, 8, 76], [58, 15, 0], [69, 76, 38]])](/support/helpjp/helpview.aspx?si=4524/file06089/math164.png)
| (10) |
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![Matrix([[43, 58, 69], [8, 15, 76], [76, 0, 38]])](/support/helpjp/helpview.aspx?si=4524/file06089/math175.png)
| (11) |
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