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# Modular Subpackage

## Category Documents

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add multiple of a mod m Matrix or Vector to another

LinearAlgebra/Modular/BackwardSubstitute
apply in-place backward substitution from an upper triangular mod m Matrix to a mod m Matrix or Vector

LinearAlgebra/Modular/Basis
compute Basis and Nullspace mod m

LinearAlgebra/Modular/ChineseRemainder
apply Garner's algorithm to reconstruct from mod m Matrix or Vector images

LinearAlgebra/Modular/CharacteristicPolynomial
Compute the characteristic polynomial of a square matrix mod p

LinearAlgebra/Modular/Copy
copy mod m Matrix or Vector to a new or already existing mod m Matrix or Vector

LinearAlgebra/Modular/Create
create a new mod m Matrix or Vector

LinearAlgebra/Modular/Determinant
compute the determinant of a square mod m Matrix

LinearAlgebra/Modular/Fill
fill mod m Matrix or Vector with specified value

LinearAlgebra/Modular/ForwardSubstitute
apply in-place forward substitution from a lower triangular mod m Matrix to a mod m Matrix or Vector

LinearAlgebra/Modular/Identity
create mod m identity Matrix

LinearAlgebra/Modular/IntegerCharacteristicPolynomial
computation of the characteristic polynomial of an integer matrix using modular methods

LinearAlgebra/Modular/IntegerDeterminant
determinant of an integer matrix using modular methods

LinearAlgebra/Modular/IntegerLinearSolve
solution of a linear integer coefficient system using modular methods

LinearAlgebra/Modular/Inverse
compute the Inverse of a square mod m Matrix

LinearAlgebra/Modular/LUApply
apply PLU Decomposition to a mod m Matrix or Vector

LinearAlgebra/Modular/LUDecomposition
compute in-place PLU Decomposition of a mod m Matrix

LinearAlgebra/Modular/LinearSolve
solve linear system mod m

LinearAlgebra/Modular/MatBasis
compute Basis and Nullspace of vectors stored in the rows of a mod m Matrix

LinearAlgebra/Modular/MatGcd
compute mod m GCD from Matrix of coefficients

LinearAlgebra/Modular/MatrixPower
compute a power of a square mod m Matrix

LinearAlgebra/Modular/Mod
apply 'mod' to input with optional evaluation list producing a mod m Matrix or Vector as output

LinearAlgebra/Modular/Multiply
scalar, Vector, and Matrix multiplication

LinearAlgebra/Modular/Permute
apply compact permutation to a mod m Matrix or Vector

LinearAlgebra/Modular/Random
create a new mod m Matrix or Vector containing random values

LinearAlgebra/Modular/Rank
compute the rank of a mod m Matrix

LinearAlgebra/Modular/RowEchelonTransform
compute a row echelon transform of a mod p Matrix

LinearAlgebra/Modular/RowReduce
Gauss row reduction of input Matrix

LinearAlgebra/Modular/Swap
swap data between two mod m Matrices or Vectors of the same datatype

LinearAlgebra/Modular/Transpose
compute the transpose of a mod m Matrix or Vector

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