To solve this problem, we need to fill in the cells of a 3x3 table given certain values. We'll explicitly place the known values in their respective positions and leave the rest as they are.
We start with the matrix format of the table:
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & - & 6 \\
\hline
- & 69 & - \\
\hline
3 & - & 12 \\
\hline
\end{array}
\][/tex]
Here are the step-by-step details for filling in the table with the given values:
1. The first row has values at the first and third cells with the middle cell empty:
- First row, first column: 11
- First row, third column: 6
- First row, second column: Empty
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & \text{empty} & 6 \\
\hline
- & - & - \\
\hline
- & - & - \\
\hline
\end{array}
\][/tex]
2. The second row has only the middle cell filled:
- Second row, second column: 69
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & \text{empty} & 6 \\
\hline
- & 69 & - \\
\hline
- & - & - \\
\hline
\end{array}
\][/tex]
3. The third row has the first and third cells filled:
- Third row, first column: 3
- Third row, third column: 12
- Third row, second column: Empty
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & \text{empty} & 6 \\
\hline
- & 69 & - \\
\hline
3 & \text{empty} & 12 \\
\hline
\end{array}
\][/tex]
Now, let's represent the final table in a standard form:
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & & 6 \\
\hline
& 69 & \\
\hline
3 & & 12 \\
\hline
\end{array}
\][/tex]
The final filled table should look like this:
[tex]\[
\begin{array}{|c|c|c|}
\hline
11 & \text{ } & 6 \\
\hline
\text{ } & 69 & \text{ } \\
\hline
3 & \text{ } & 12 \\
\hline
\end{array}
\][/tex]
