$\begin{array}{l}
\left(\begin{array}{llll}
1 & 3 & 8 & 5 \\
5 & 4 & 6 & 2 \\
6 & 7 & 1 & 8 \\
2 & 9 & 3 & 7
\end{array}\right) \\
a_{43}=
\end{array}$
Answer (1)
Identify the 4th row of the matrix.
Identify the 3rd column of the matrix.
Find the element at the intersection of the 4th row and 3rd column.
The element a 43 is 3 .
Explanation
Understanding the Problem We are given a 4x4 matrix and asked to find the element a 43 , which represents the element in the 4th row and 3rd column of the matrix.
Identifying Row and Column The matrix is given as: ( 1 3 8 5 5 4 6 2 6 7 1 8 2 9 3 7 ) To find a 43 , we need to identify the 4th row and the 3rd column.
Finding the Element The 4th row of the matrix is: 2 9 3 7 .
The 3rd column of the matrix is: 8 6 1 3 .
The element at the intersection of the 4th row and 3rd column is 3.
Final Answer Therefore, a 43 = 3 .
Examples
In spreadsheet software like Excel, you often need to refer to specific cells in a table. This problem is analogous to finding the value in a particular cell, say D4, where D represents the 4th column and 4 represents the 4th row. Understanding matrix notation helps in data analysis and manipulation, allowing you to quickly locate and use specific data points within large datasets.
