# Matrix

An implementation of `Matrix`

and `Vector`

classes.

The `Matrix`

class represents a mathematical matrix. It provides methods for creating matrices, operating on them arithmetically and algebraically, and determining their mathematical properties (trace, rank, inverse, determinant, eigensystem, etc.).

The `Vector`

class represents a mathematical vector, which is useful in its own right, and also constitutes a row or column of a `Matrix`

.

## Installation

The `matrix`

library comes pre-installed with Ruby. Unless you need recent features, you can simply `require 'matrix'`

directly, no need to install it.

If you need features that are more recent than the version of Ruby you want to support (check the CHANGELOG), you must use the gem. To do this, add this line to your application's Gemfile or gem's gemspec:

```
gem 'matrix'
```

And then execute:

```
$ bundle
```

To make sure that the gem takes precedence over the builtin library, call `bundle exec ...`

(or call `gem 'matrix'`

explicitly).

## Usage

```
require 'matrix'
m = Matrix[[1, 2], [3, 4]]
m.determinant # => -2
```

## Development

After checking out the repo, run `bin/setup`

to install dependencies. Then, run `rake test`

to run the tests. You can also run `bin/console`

for an interactive prompt that will allow you to experiment.

To install this gem onto your local machine, run `bundle exec rake install`

. To release a new version, update the version number in `version.rb`

, and then run `bundle exec rake release`

, which will create a git tag for the version, push git commits and tags, and push the `.gem`

file to rubygems.org.

## Contributing

Bug reports and pull requests are welcome on GitHub at https://github.com/ruby/matrix.

## License

The gem is available as open source under the terms of the 2-Clause BSD License.