Certainly! Let's examine the table provided and fill in the missing information step by step:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Juan} & \text{Marta} \\
\hline
9 & 7 \\
\hline
6 & 5 \\
\hline
& \\
\hline
\end{array}
\][/tex]
The table depicts two columns, one for Juan and one for Marta. Each row represents certain values associated with Juan and Marta. There are four rows in total, including one header row and three data rows.
Upon inspecting the first and second rows:
- The first row contains the numbers 9 for Juan and 7 for Marta.
- The second row contains the numbers 6 for Juan and 5 for Marta.
The third row contains no values (indicated by blank spaces).
Given this information, let's present the matrix that this table represents:
1. The first entry of Juan is 9, and the first entry of Marta is 7.
2. The second entry of Juan is 6, and the second entry of Marta is 5.
3. The third row has no entries for either Juan or Marta, represented as blank spaces.
So the matrix formed by this table can be written as:
[tex]\[
\begin{bmatrix}
9 & 7 \\
6 & 5 \\
&
\end{bmatrix}
\][/tex]
Alternatively, in a more standard textual representation of matrix, we can express it as:
[tex]\[
\text{Matrix} = \begin{bmatrix}
\text{'9'} & \text{'7'} \\
\text{'6'} & \text{'5'} \\
\text{''} & \text{''}
\end{bmatrix}
\][/tex]
Thus, the completed matrix is:
[tex]\[
\begin{array}{cc}
9 & 7 \\
6 & 5 \\
&
\end{array}
\][/tex]
By following this logical process, we've derived the values in the matrix from the table provided.
