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## matrix
### Instructions
Define a data structure to represent a matrix of any size and implement the basic operations for this. The next steps need to be followed:
- You can use a 2 dimensional Vec<T>'s. We will consider a matrix as a rectangular arrangements of scalars.
- You have to use the definition of scalars done in the exercise: `lalgebra_scalar`
- Define `new` that returns a matrix of size `1 x 1`
- Then define the associated function `identity` that returns the identity matrix of size n
- Finally, define the associated function `zero` that returns a matrix of size `row x col` with all the positions filled by zeros
### Notions
- [Traits](https://doc.rust-lang.org/book/ch19-03-advanced-traits.html)
### Expected Functions and Structure
```rust
pub struct Matrix<T>(pub Vec<Vec<T>>);
impl <T: Scalar<Item = T>> Matrix<T> {
pub fn new() -> Matrix<T> {
}
pub fn zero(row: usize, col: usize) -> Matrix<T> {
}
pub fn identity(n: usize) -> Matrix<T> {
}
}
```
### Usage
Here is a program to test your function.
```rust
use matrix::*;
fn main() {
let m: Matrix<u32> = Matrix(vec![vec![0, 0, 0, 0], vec![0, 0, 0, 0], vec![0, 0, 0, 0]]);
println!("{:?}", m);
println!("{:?}", Matrix::<i32>::identity(4));
println!("{:?}", Matrix::<f64>::zero(3, 4));
}
```
And its output:
```console
$ cargo run
Matrix([[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]])
Matrix([[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]])
Matrix([[0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0]])
$
```