MathPHP\LinearAlgebra\MatrixAxiomsTest::testScalarMultiplcationOrder PHP Method

testScalarMultiplcationOrder() public method

Axiom: r(AB) = (rA)B = A(rB) Order of scalar multiplication does not matter.
    public function testScalarMultiplcationOrder(array $A, array $B, int $r)
    {
        $A = MatrixFactory::create($A);
        $B = MatrixFactory::create($B);
        // r(AB)
        $AB = $A->multiply($B);
        $r⟮AB⟯ = $AB->scalarMultiply($r);
        // (rA)B
        $rA = $A->scalarMultiply($r);
        $⟮rA⟯B = $rA->multiply($B);
        // A(rB)
        $rB = $B->scalarMultiply($r);
        $A⟮rB⟯ = $A->multiply($rB);
        $this->assertEquals($r⟮AB⟯->getMatrix(), $⟮rA⟯B->getMatrix());
        $this->assertEquals($⟮rA⟯B->getMatrix(), $A⟮rB⟯->getMatrix());
        $this->assertEquals($r⟮AB⟯->getMatrix(), $A⟮rB⟯->getMatrix());
    }
MatrixAxiomsTest