Answer :
Identity Property.
Step-by-step explanation:
Two matices are given to us , which are ,
Let A =
.
Let B =
.
Here since all the elements of Matrix B are 0 , its a null matrix . Hence adding any matrix to it will give the same matrix which is added . This property is called as Identity Property .
<u>Adding</u><u> </u><u>both</u><u> </u><u>A</u><u> </u><u>and</u><u> </u><u>B</u><u> </u><u>,</u><u> </u>
![\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] + \left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right]](https://tex.z-dn.net/?f=%5Cimplies%20A%20%2B%20B%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%206%20%26%20-8%20%26%201%20%5C%5C%200%20%26%20-2%20%26%20-19%20%5Cend%7Barray%7D%20%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%200%20%26%200%26%200%20%5C%5C%200%20%26%200%20%26%200%20%5Cend%7Barray%7D%20%5Cright%5D%20%20)
![\implies A + B = \left[ \begin{array}{ccc} ( 6+0) & (-8+0) & (1+0) \\ (0+0) & (-2+0) & (-19 + 0 ) \end{array}\right]](https://tex.z-dn.net/?f=%5Cimplies%20A%20%2B%20B%20%3D%20%5Cleft%5B%20%5Cbegin%7Barray%7D%7Bccc%7D%20%28%206%2B0%29%20%26%20%28-8%2B0%29%20%26%20%281%2B0%29%20%5C%5C%20%280%2B0%29%20%26%20%28-2%2B0%29%20%26%20%28-19%20%2B%200%20%29%20%5Cend%7Barray%7D%5Cright%5D%20)
Hope it helped !