Question

Which property of addition is illustrated by each of the following examples?

[ matrix 2 & -1 & 3 \ 1 & 0 & 6 ] + [ matrix -2 & 1 & -3 \ -1 & 0 & -6 ] = [ matrix 0 & 0 & 0 \ 0 & 0 & 0 ]
a. Commutative Property
b. Associative Property
c. Identity Property
d. Distributive Property

Answer 1

The property of addition illustrated by the given examples is the Commutative Property.

Step-by-step explanation:

The property of addition that is illustrated by the given examples is the Commutative Property.

The Commutative Property states that the order of the numbers being added does not affect the sum. In other words, regardless of the order in which the matrices are added, the result will be the same. This property applies to both regular numbers and matrices.

In the given example, the matrices [2 -1 3
1 0 6] and [-2 1 -3
-1 0 -6] are being added. Regardless of whether we add them in the order [2 -1 3
1 0 6] + [-2 1 -3
-1 0 -6] or [-2 1 -3
-1 0 -6] + [2 -1 3
1 0 6], the result will be the same: [0 0 0
0 0 0].