if A and B are two matrices of the same order mxn then order of (A+B) is
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Yes, matrices are commutative.
We can see it as follows,
Let element of A matrix be denoted by a
ij
and B matrix be denoted by b
ij
, Then corresponding elements of A+B matrix will be (a
ij
+ b
ij
) and corresponding elements of B+A matrix will be (b
ij
+ a
ij
) . But since addition is commutative, corresponding elements of (A+B) and (B+A) matrices are the same , So they are equal.
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