# Math::MatrixLUP

Math::MatrixLUP - Matrix operations and LUP decomposition.

## DESCRIPTION

[Math::MatrixLUP](https://metacpan.org/pod/Math::MatrixLUP) provides generic support for matrix operations and LUP decomposition, allowing any type of numbers inside the matrix, including native Perl numbers and numerical objects provided by other mathematical libraries, such as [Math::AnyNum](https://metacpan.org/pod/Math::AnyNum).

The supported matrix operations are:

* matrix multiplication
* matrix exponentiation
* matrix-scalar arithmetical operations
* determinant of a square-matrix
* inversion of a square-matrix
* solving a system of linear equations

## SYNOPSIS

```perl
use Math::MatrixLUP;

my $A = Math::MatrixLUP->new([
    [2, -1,  5,  1],
    [3,  2,  2, -6],
    [1,  3,  3, -1],
    [5, -2, -3,  3],
]);

my $det = $A->determinant;
my $sol = $A->solve([-3, -32, -47, 49]);
my $inv = $A->invert;
my $exp = $A->pow(3);
```

# INSTALLATION

To install this module, run the following commands:

    perl Build.PL
    ./Build
    ./Build test
    ./Build install

# METACPAN

https://metacpan.org/pod/Math::MatrixLUP

# LICENSE AND COPYRIGHT

Copyright (C) 2019 Daniel "Trizen" Șuteu

This program is free software; you can redistribute it and/or modify it
under the terms of the the Artistic License (2.0). You may obtain a
copy of the full license at:

http://www.perlfoundation.org/artistic_license_2_0

Any use, modification, and distribution of the Standard or Modified
Versions is governed by this Artistic License. By using, modifying or
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or distribute the Package, if you do not accept this license.

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your Modified Version complies with the requirements of this license.

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