Question

matrix addition is commutative but not associative​

Answer 1

I tried getting the answers in similar questions, everyone says that it's not necessary, but if e is the identity element for any binary operation ∗, which is not associative and commutative, how can

a∗e=a=e∗a

when it is not commutative, i.e. a∗b≠b∗a?

Even if we get a value by solving a∗e=a. Will we get the same value by solving e∗a=a ? Please provide an example.

Answer 2

Answer:

MATRIX ADDITION IS COMMUTATIVE AS WELL AS ASSOCIATIVE

Step-by-step explanation:

(i)matrix addition is commutative

Consider A as a matrix and c is a scalar

hence    c  A=A c

(ii)Associative property is also true

             A+(B+C)=(A+B)+C

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