Answer :
Identity Property.
Step-by-step explanation:
Two matices are given to us , which are ,
Let A = [tex]\left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] [/tex] .
Let B = [tex]\left[\begin{array}{ccc} 0 & 0& 0 \\ 0 & 0 & 0 \end{array} \right] [/tex] .
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 .
Adding both A and B ,
[tex]\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] [/tex]
[tex]\implies A + B = \left[ \begin{array}{ccc} ( 6+0) & (-8+0) & (1+0) \\ (0+0) & (-2+0) & (-19 + 0 ) \end{array}\right] [/tex]
[tex]\red{\implies A + B = \left[\begin{array}{ccc} 6 & -8 & 1 \\ 0 & -2 & -19 \end{array} \right] }[/tex]
Hope it helped !
