public/subjects/matrix_transposition_4by3

matrix_transposition_4by3

Instructions

• Define the structure matrix as a tuple of tuples of i32's

• Define a function which calculates the transpose matrix of a 4x3 matrix (4 rows by 3 columns) which is a 3x4 matrix (3 rows by 4 columns).

• Note:

  • The transpose of a matrix A is the matrix A' where A''s columns are A's row and the rows are the columns:

Example:

( a b c )   __ transposition __>   ( a d g j )
( d e f )                          ( b e h k )
( g h i )                          ( c f i l )
( j k l )

• Matrix must implement Debug, PartialEq and Eq. You can use derive.

• Remember that a library has to be defined so the elements mube made public in order to be called from an external crate.

Notions

paths for referring to an item in the module tree

Expected Function and Structs

pub struct Matrix4by3(
    pub (i32, i32, i32),
    pub (i32, i32, i32),
    pub (i32, i32, i32),
    pub (i32, i32, i32),
);

pub struct Matrix3by4(
    pub (i32, i32, i32, i32),
    pub (i32, i32, i32, i32),
    pub (i32, i32, i32, i32),
);

pub fn transpose(m: Matrix4by3) -> Matrix3by4 {

}

Usage

Here is a possible program to test your function,

fn main() {
    let matrix = Matrix4by3((1, 2, 3), (4, 5, 6), (7, 8, 9), (10, 11, 12));
    println!("Original matrix {:?}", matrix);
    println!("Transpose matrix {:?}", transpose(matrix));
}

And its output:

$ cargo run
Original matrix Matrix4by3((1, 2, 3), (4, 5, 6), (7, 8, 9), (10, 11, 12))
Transpose matrix Matrix3by4((1, 4, 7, 10), (2, 5, 8, 11), (3, 6, 9, 12))
$