To apply the zero matrix to the given matrix and find the resulting values of [tex]\( x \)[/tex] and [tex]\( y \)[/tex], let's follow these steps:
We start with the matrices:
[tex]\[ \left[\begin{array}{ll}
16 & -24
\end{array}\right] \][/tex]
and
[tex]\[ \left[\begin{array}{ll}
0 & 0
\end{array}\right] \][/tex]
We need to add these matrices element-wise:
- For the first element in the first position:
[tex]\[ 16 + 0 = 16 \][/tex]
- For the second element in the second position:
[tex]\[ -24 + 0 = -24 \][/tex]
Combining these results, the resulting matrix after the addition will be:
[tex]\[ \left[\begin{array}{ll}
16 & -24
\end{array}\right] \][/tex]
Therefore, the values for [tex]\( x \)[/tex] and [tex]\( y \)[/tex] are:
[tex]\[ x = 16 \][/tex]
[tex]\[ y = -24 \][/tex]
So, the completed answer is:
[tex]\[ x = 16, \, y = -24 \][/tex]
