The Hadamard product is commutative, associative and distributive over addition.
The derivation must also be distributive over addition in the field:
The cross product is anticommutative, distributive over addition and satisfies the Jacobi identity.
However, multiplication is distributive over addition, as expressed by .
Holds with respect to multiplication over addition.
It is also a trivial group over addition, and a trivial module mentioned above.
Since the introduction of modern algebraic notation, multiplication has taken precedence over addition.
Because these give the same final answer (8), we say that multiplication by 2 distributes over addition of 1 and 3.
They were handed over addition to a £41,000 "winding up allowance," which ex-MPs could draw on to pay off staff and settle other office costs.
This follows from the distributivity of matrix multiplication over addition.