Heisenberg had not proceeded very far with this idea before he noticed that it would lead to his physical quantities not satisfying the commutative law of multiplication.
在意识到矩阵表示将导致物理量不满足乘法交换律之前，海森堡并没有前进太远。
2
Basic operation rules have been established, including addition, positive scalar multiplication, cancellation law for addition and so on.
基本的运算法则已经形成，包括加法运算、数乘运算、加法的消去律等。
3
Here we have used the associative law or the cancellation law for multiplication, which are satisfied for natural Numbers, now we assume they are satisfied with fraction Numbers.