/**
* @dataProvider dataProviderForAsColumnMatrix
*/
public function testAsColumnMatrix(array $A, array $R)
{
$A = new Vector($A);
$R = new Matrix($R);
$M = $A->asColumnMatrix();
$this->assertEquals($R, $M);
}
/**
* Axiom: A⨂B = ABᵀ
* Outer product is the same as matrix multiplication of A and transpose of B
* @dataProvider dataProviderForOuterProduct
*/
public function testOuterProductIsMatrixMultiplicationOfAAndBTranspose(array $A, array $B)
{
// Vector A⨂B
$Av = new Vector($A);
$Bv = new Vector($B);
$A⨂B = $Av->outerProduct($Bv);
// Matrix multiplication ABᵀ
$Am = $Av->asColumnMatrix();
$Bᵀ = new Matrix([$Bv->getVector()]);
$ABᵀ = $Am->multiply($Bᵀ);
$this->assertEquals($A⨂B, $ABᵀ);
}
