1. The problem asks us to identify the position of the value -17 in the matrix resulting from adding two given 3x3 matrices. 2. We start by adding the matrices element-wise: $$\begin{bmatrix}-1 & 2 & 8 \\ 3 & -4 & 9 \\ 7 & 5 & 6\end{bmatrix} + \begin{bmatrix}11 & 4 & -2 \\ 0 & -13 & 7 \\ -5 & 3 & -8\end{bmatrix} = \begin{bmatrix}(-1+11) & (2+4) & (8+(-2)) \\ (3+0) & (-4+(-13)) & (9+7) \\ (7+(-5)) & (5+3) & (6+(-8))\end{bmatrix}$$ 3. Calculating each element: $$\begin{bmatrix}10 & 6 & 6 \\ 3 & -17 & 16 \\ 2 & 8 & -2\end{bmatrix}$$ 4. We observe that the value -17 is located in the second row and second column of the resulting matrix. 5. Using the notation $a_{row,column}$ or $a_{i,j}$, this corresponds to $a_{2,2}$. 6. The options given were: - a. $a_{3,2}$ (third row, second column) - b. $a_{2,3}$ (second row, third column) Neither matches the correct position $a_{2,2}$, but based on the given options, the correct notation for -17 is $a_{2,2}$ which is the second row and second column. Final answer: The value -17 is at position $a_{2,2}$ in the resulting matrix.