Question

Which property is shown in the matrix addition below?

inverse property
identity property
commutative property
associative property

Answer 1

Associative property

Explanation:

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Answer 2

Associative property

Explanation:

Given: addition of matrices

To find: property shown in the matrix addition

Solution:

A matrix is a rectangular array in which elements are arranged in rows and columns.

Let A, B be the matrices and
`O` (zero matrix) denotes identity for addition

Inverse Property states that
`A+B=B+A=O` such that A and B are inverse of each other.
`(B=-A)`

Identity property states that
`A+O=A=O+A`

Commutative property states that
`A+B=B+A`

Associative property states that
`(A+B)+C=A+(B+C)`

The matrix addition given in the question shows Associative property.