$\begin{array}{l}
\left(\begin{array}{llll}
1 & 3 & 8 & 5 \\
5 & 4 & 6 & 2 \\
6 & 7 & 1 & 8 \\
2 & 9 & 3 & 7
\end{array}\right) \\
a _{ 4 1 }=
\end{array}$
Answer (2)
Identify the element in the 4th row and 1st column of the given matrix.
The element a 41 is found to be 2.
Therefore, the final answer is 2 .
Explanation
Understanding the Problem We are given a 4x4 matrix and asked to find the value of the element in the 4th row and 1st column, denoted as a 41 .
Identifying the Element The matrix is given as: ( 1 3 8 5 5 4 6 2 6 7 1 8 2 9 3 7 ) To find a 41 , we need to identify the element in the 4th row and 1st column.
Finding the Value Looking at the matrix, the element in the 4th row and 1st column is 2. Therefore, a 41 = 2 .
Examples
Matrices are used in various real-life applications, such as representing data in computer graphics, cryptography, and solving systems of linear equations. For example, in computer graphics, matrices are used to transform objects in 3D space, such as rotating, scaling, and translating them. Understanding how to identify elements within a matrix is fundamental to these applications.
The element in the 4th row and 1st column of the given matrix is 2. Therefore, a 41 = 2 . The final answer is 2 .
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