# Chapter 6 - Matrices and Determinants - Exercise Set 6.3 - Page 626: 69

First check if the matrices have the same order. If not, the difference is not defined. To obtain the element in row i, column j, subtract the corresponding elements.

#### Work Step by Step

A matrix is a set of numbers, arranged into rows and columns, placed in brackets. The numbers inside the brackets are called elements of the matrix. A matrix of order $m\times n$ has $m$ rows and $n$ columns. To subtract two matrices, they must have the same order. Otherwise, the sum is not defined. If we annotate $A=[a_{ij}]$ and $B=[b_{ij}]$, then $A-B=\left[a_{ij}-b_{ij}\right]$ To obtain the element in row i, column j, subtract the corresponding elements.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.