Certainly! Let's take a detailed look at the Sudoku table you've provided:
[tex]\[
\begin{tabular}{|l|l|l|}
\hline 8 & & 6 \\
\hline & 5 & \\
\hline 4 & & 2 \\
\hline
\end{tabular}
\][/tex]
Here is the table:
[tex]\[
\begin{array}{ccc}
8 & \_ & 6 \\
\_ & 5 & \_ \\
4 & \_ & 2 \\
\end{array}
\][/tex]
To match this standard Sudoku grid with its numerical representation (substitute \_ with `None`), we get:
[tex]\[
\left[
\begin{array}{ccc}
8 & \text{None} & 6 \\
\text{None} & 5 & \text{None} \\
4 & \text{None} & 2 \\
\end{array}
\right]
\][/tex]
This table shows the values filled in some cells and `None` where there is no value yet:
- The first row has the numbers 8, `None`, and 6.
- The second row has `None`, 5, and `None`.
- The third row has 4, `None`, and 2.
Given this representation, here is a step-by-step explanation of each row in the table:
1. First Row:
[tex]\[
[8, \text{None}, 6]
\][/tex]
- The first cell contains the number 8.
- The second cell is empty (denoted as `None`).
- The third cell contains the number 6.
2. Second Row:
[tex]\[
[\text{None}, 5, \text{None}]
\][/tex]
- The first cell is empty (denoted as `None`).
- The second cell contains the number 5.
- The third cell is empty (denoted as `None`).
3. Third Row:
[tex]\[
[4, \text{None}, 2]
\][/tex]
- The first cell contains the number 4.
- The second cell is empty (denoted as `None`).
- The third cell contains the number 2.
In summary, we analyzed the Sudoku grid and represented it logically with the corresponding numbers and `None` values for empty cells. The final matrix looks like:
[tex]\[
\left[
\begin{array}{ccc}
8 & \text{None} & 6 \\
\text{None} & 5 & \text{None} \\
4 & \text{None} & 2 \\
\end{array}
\right]
\][/tex]
This detailed breakdown provides clarity on each element within the Sudoku table in question.
