php-ml/docs/math/matrix.md
2016-05-02 13:49:19 +02:00

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Matrix

Class that wraps PHP arrays to mathematical matrix.

Creation

To create Matrix use simple arrays:

$matrix = new Matrix([
    [3, 3, 3],
    [4, 2, 1],
    [5, 6, 7],
]);

You can also create Matrix (one dimension) from flat array:

$flatArray = [1, 2, 3, 4];
$matrix = Matrix::fromFlatArray($flatArray);

Matrix data

Methods for reading data from Matrix:

$matrix->toArray(); // cast matrix to PHP array
$matrix->getRows(); // rows count
$matrix->getColumns(); // columns count
$matrix->getColumnValues($column=4); // get values from given column

Determinant

Read more about matrix determinant.

$matrix = new Matrix([
    [3, 3, 3],
    [4, 2, 1],
    [5, 6, 7],
]);

$matrix->getDeterminant();
// return -3

Transpose

Read more about matrix transpose.

$matrix->transpose();
// return new Matrix 

Multiply

Multiply Matrix by another Matrix.

$matrix1 = new Matrix([
    [1, 2, 3],
    [4, 5, 6],
]);

$matrix2 = new Matrix([
    [7, 8],
    [9, 10],
    [11, 12],
]);

$matrix1->multiply($matrix2);

// result $product = [
//  [58, 64],
//  [139, 154],
//];

Divide by scalar

You can divide Matrix by scalar value.

$matrix->divideByScalar(2);

Inverse

Read more about invertible matrix

$matrix = new Matrix([
    [3, 4, 2],
    [4, 5, 5],
    [1, 1, 1],
]);

$matrix->inverse();

// result $inverseMatrix = [
//    [0, -1, 5],
//    [1 / 2, 1 / 2, -7 / 2],
//    [-1 / 2, 1 / 2, -1 / 2],
//];

Cross out

Cross out given row and column from Matrix.

$matrix = new Matrix([
    [3, 4, 2],
    [4, 5, 5],
    [1, 1, 1],
]);

$matrix->crossOut(1, 1)

// result $crossOuted = [
//    [3, 2],
//    [1, 1],
//];