Which property is shown in the matrix addition below? inverse property identity property commutative property associative property

Question

asked Jul 17, 2021 162k views

2 Answers

Cperez · Answer 1 · 2021-07-24T16:43:00+0000

Answer:

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
(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.