https://file.aiquickdraw.com/mathbot/file/1726265384608ldtca2e9.jpg

Let's first identify the matrix and its layout to find the element \(a_{16}\).

We have a 6x2 matrix:
\[
\begin{pmatrix}
2 & 4 \\
5 & 19 \\
73 & 8 \\
9 & 4 \\
67 & 80 \\
83 & 25
\end{pmatrix}
\]

The elements are indexed column-wise, so to find \(a_{16}\), we need to count the elements column by column.

The first column:
\[
a_1 = 2, \, a_2 = 5, \, a_3 = 73, \, a_4 = 9, \, a_5 = 67, \, a_6 = 83
\]

The second column:
\[
a_7 = 4, \, a_8 = 19, \, a_9 = 8, \, a_{10} = 4, \, a_{11} = 80, \, a_{12} = 25
\]

Since the matrix has 6 rows and 2 columns, \(a_{16}\) refers to the last element of the matrix, which is 25.

However, none of the answer options lists 25, so it seems there may be an error in the question options provided.

Would you like me to proceed with further details or explanations? Here are some related questions for further practice:

1. How do we find the element of a matrix given its index?
2. What is the difference between row-major and column-major indexing?
3. Can you explain how matrices are used in linear transformations?
4. How do you find the determinant of a matrix?
5. What is the significance of matrix multiplication?

**Tip**: When working with matrices, always check whether the elements are indexed by rows or columns to avoid confusion.

Which element is a16? Is the answer a) 24, b) 67, c) 8, or d) 83?

This problem helps in understanding how to find the element a16 in a 6x2 matrix. Learn the indexing method, understand matrix layout, and how to count elements properly to locate a specific element within a matrix. Suitable for students in Grades 9-12.

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