Question

In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below? x+y=y+x

Answer 1

Matrix addition is commutative.

Explanation:

We know that if there are two matrices X and Y of same order(i.e. same number of the rows and columns) then the addition between the two matrix is commutative i.e.

X+Y=Y+X.

While in case of multiplication of two matrices commutativity may or may not hold true.

Answer 2

If [x] and [y] are matrices and
[x]+[y] = [y]+[x], then

(a) the matrices have the same number of rows and columns,
(b) the operation of matrix addition is commutative.

Answer: commutative