Question

Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0

Answer 1

The property shown in matrix addition given is "Additive Inverse Property"

Explanation:

First of all lets define what a matrix is.

A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.

There are several addition properties for matrices.

One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.

Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.

`\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]`

Hence,

The property shown in matrix addition given is "Additive Inverse Property"