2007-08-24 01:05:01 · 5 answers · asked by MaxMin 1 in Science & Mathematics ➔ Mathematics
Let a and b be two elements (can be numbers, matrices, sets ...) and # a binary operation (# can be addition, set union, multiplication..)
Then if
a#b = b#a for all a and b we say # operation is commutative
e.g - 4 + 6 = 6 + 4
But for matrices
A.B != B.A in general
2007-08-24 01:13:29 · answer #1 · answered by dy/dx 3 · 0⤊ 0⤋
The commutative law states that in addition and multiplication (or any other commutative operation), the order in which the arguments are taken makes no difference in the result. For example:
a + b = b + a
c*d = d*c
It's called the commutative property because the arguments can "commute" into different positions without affecting the result.
2007-08-24 08:10:52 · answer #2 · answered by DavidK93 7 · 0⤊ 0⤋
A binery operation on a set 'S' is called a commutative law iff
x*y = y*x for every x,y belongs to S
2007-08-24 08:16:58 · answer #3 · answered by chaitu c 1 · 0⤊ 0⤋
Commutative law? It's simply the law of replacing terms in the operations of addition and multiplication. Replacing them won't change the resulting expresion.
2007-08-24 09:03:21 · answer #4 · answered by PorkyBishop 2 · 0⤊ 0⤋
Commutative law states when you have the a couple addition or multiplication it does not matter in which you work them out.
a+b+c=c+a+b or x*y=y*x
2007-08-24 09:30:49 · answer #5 · answered by firefighter 3 · 0⤊ 0⤋