It means that when you exchange the two operands, the result doesn't change.
Example 1: For any two real numbers, a + b = b + a. In the real numbes, addition is commutative.
Example 2: For any two real numbers, ab = ba. In the real numbers, multiplication is commutative.
Example 3: For square matrixes, AB is not the same as BA. Multiplication of matrixes is NOT commutative.
Example 4: For vectors, a x b = - b x a. The cross product of vectors is NOT commutative.
NAND
It is no commutative.
The multiplicative inverse of a quantity may, when the operation of multiplication is commutative, be called its reciprocal. Thus the reciprocal of 72 is 1/72.
That is true, matrix multiplication is not commutative.
Matrix addition is commutative if the elements in the matrices are themselves commutative.Matrix multiplication is not commutative.
what is the commutative operation of addition
Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.
It means that "a operation b" is the same as "b operation a". For example, in standard addition, 1 + 2 is the same as 2 + 1.
Yes it is : a + b = b + a for all integers a and b. In fact , if an operation is called addition you can bet that it is commutative. It would be perverse to call an non-commutative operation addition.
Both union and intersection are commutative, as well as associative.
NAND
it depends how the operation is
It means the operation has two sub-operations and it does not matter in which order they are done. An example is the addition of two numbers (but not the subtraction). For example, 2+1=3, but also 1+2=3 so adding 1 and 2 is commutative.
what is commutative and distributed property mean
The commutative property states that changing the order of operands in a binary operation does not affect the result. More simply, and using more familiar terms: for addition, it means that A + B = B + A or for multiplication, A * B = B *A Subtraction and division are not commutative, nor is matrix multiplication.
No, it is not.
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.