# Matrix

Given a string representing a matrix of numbers, return the rows and columns of
that matrix.

So given a string with embedded newlines like:

> 9 8 7  
> 5 3 2  
> 6 6 7  

representing this matrix:

```plain
    0  1  2
  |---------
0 | 9  8  7
1 | 5  3  2
2 | 6  6  7
```

your code should be able to spit out:

- A list of the rows, reading each row left-to-right while moving
  top-to-bottom across the rows,
- A list of the columns, reading each column top-to-bottom while moving
  from left-to-right.

The rows for our example matrix:

- 9, 8, 7
- 5, 3, 2
- 6, 6, 7

And its columns:

- 9, 5, 6
- 8, 3, 6
- 7, 2, 7

## Hints

To complete this exercise, you need to create the data type `Matrix`,
with `Eq` and `Show` instances, and implement the following functions:

- `cols`
- `column`
- `flatten`
- `fromList`
- `fromString`
- `reshape`
- `row`
- `rows`
- `shape`
- `transpose`

You will find a dummy data declaration and type signatures already in place,
but it is up to you to define the functions and create a meaningful data type,
newtype or type synonym.

No validation of input is required. Let it fail if the matrix is not
rectangular, invalid chars are encountered, etc.

shape is (rows, cols)



## Getting Started

For installation and learning resources, refer to the
[exercism help page](http://exercism.io/languages/haskell).

## Running the tests

To run the test suite, execute the following command:

```bash
stack test
```

#### If you get an error message like this...

```
No .cabal file found in directory
```

You are probably running an old stack version and need
to upgrade it.

#### Otherwise, if you get an error message like this...

```
No compiler found, expected minor version match with...
Try running "stack setup" to install the correct GHC...
```

Just do as it says and it will download and install
the correct compiler version:

```bash
stack setup
```

## Running *GHCi*

If you want to play with your solution in GHCi, just run the command:

```bash
stack ghci
```

## Feedback, Issues, Pull Requests

The [exercism/haskell](https://github.com/exercism/haskell) repository on
GitHub is the home for all of the Haskell exercises.

If you have feedback about an exercise, or want to help implementing a new
one, head over there and create an issue.  We'll do our best to help you!

## Source

Warmup to the `saddle-points` warmup. [http://jumpstartlab.com](http://jumpstartlab.com)

## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.