The commutativity is a property of binary operations, and it states that the order in which the operands appear does not matter.
If a and b are two elements and * is an operator then commutativity implies that
a * b = b * a
Ordinary addition and multiplication and commutative but subtraction and division are not. Matrix multiplication is not commutative.
Associativity is a property of ternary operations, and states that the order in which the operations are carried out does not matter.
If a, b and c are elements and * an operator, then
a * (b * c) = (a * b) * c so that they can be written as a * b * c without ambiguity.
Addition and multiplication (including matrices) are associative. Subtraction and division are not.
zero property, inverse, commutative, associative, and distributative
Subtraction is neither commutative nor associative.
No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
Subtraction is not commutative nor associative.
Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)
Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.Nothing. Multiplication is commutative and associative.
Commutative a*b=b*a Associative (a*b)*c=a*(b*c)
No.
NAND
commutative, associative, distributive
Associative
Both union and intersection are commutative, as well as associative.