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LinearAlgebra[Modular][Fill] - fill mod m Matrix or Vector with specified value
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Calling Sequence
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Fill(m, fillv, A)
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Parameters
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m
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modulus
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fillv
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(optional) fill value; numeric in the range  or keyword
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A
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mod m Matrix or Vector, including subspec
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Description
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The Fill function fills the mod m Matrix or Vector A with the specified value fillv. If a fill value, fillv, is not specified, 0 is used. The value NULL is returned.
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If fillv is the keyword random, the mod m Matrix or Vector A is filled with random values in the range  .
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The Fill function allows you to use sub-Matrix and sub-Vector specifications for the mod m Matrix or Vector. For example, the function can be used to clear specific rows of a Matrix, or part of a Vector.
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This command is part of the LinearAlgebra[Modular] package, so it can be used in the form Fill(..) only after executing the command with(LinearAlgebra[Modular]). However, it can always be used in the form LinearAlgebra[Modular][Fill](..).
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Examples
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![with(LinearAlgebra[Modular])](/support/helpjp/helpview.aspx?si=4502/file06068/math120.png)
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![A := Mod(13, Matrix(4, 4, proc (i, j) options operator, arrow; rand() end proc), integer[])](/support/helpjp/helpview.aspx?si=4502/file06068/math124.png)
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![A := Matrix([[10, 0, 8, 12], [2, 6, 0, 11], [9, 2, 11, 7], [4, 11, 12, 11]])](/support/helpjp/helpview.aspx?si=4502/file06068/math127.png)
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Fill entire Matrix with 0.
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![Matrix([[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=4502/file06068/math140.png)
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Fill row 3 with value 2.
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![Matrix([[0, 0, 0, 0], [0, 0, 0, 0], [2, 2, 2, 2], [0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=4502/file06068/math153.png)
| (3) |
Fill column 2 with 0.
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![Matrix([[0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 2, 2], [0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=4502/file06068/math166.png)
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Fill all but first and last elements of a row Vector with 5.0.
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![B := Create(13, 0, 5, float[8])](/support/helpjp/helpview.aspx?si=4502/file06068/math172.png)
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](/support/helpjp/helpview.aspx?si=4502/file06068/math175.png)
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](/support/helpjp/helpview.aspx?si=4502/file06068/math186.png)
| (6) |
Fill Matrix with random values.
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![Matrix([[0, 0, 0, 0], [0, 0, 0, 0], [2, 0, 2, 2], [0, 0, 0, 0]])](/support/helpjp/helpview.aspx?si=4502/file06068/math195.png)
| (7) |
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![Matrix([[6, 7, 7, 3], [10, 3, 6, 6], [10, 12, 7, 6], [1, 2, 0, 11]])](/support/helpjp/helpview.aspx?si=4502/file06068/math206.png)
| (8) |
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