Find the dimensions of the given matrix.
C =

3
4

8
−5
2

Incorrect: Your answer is incorrect.
✕
Incorrect: Your answer is incorrect.
Identify the given entry.
C11 =

The matrix \( C \) can be represented as:

\[
C = \begin{pmatrix} 
3 & 4 \\ 
8 & -5 \\ 
2 & \, 
\end{pmatrix}
\]

The dimensions of a matrix are described as "rows \(\times\) columns." To find the dimensions of this matrix, count the rows and columns:

- There are 3 rows.
- There are 2 columns.

So, the dimensions of matrix \( C \) are \( 3 \times 2 \).

### Identifying the entry \( C_{11} \):

The entry \( C_{11} \) refers to the element in the first row and first column. Looking at the matrix, \( C_{11} = 3 \).

Let me know if you need further clarification or details.

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Here are 5 related questions to explore further:

1. What is the element in the second row, first column of matrix \( C \)?
2. How do you identify the entry \( C_{32} \) in this matrix?
3. What happens if you try to find \( C_{13} \) in this matrix?
4. How do you determine if a matrix is square based on its dimensions?
5. What would the transpose of matrix \( C \) look like?

**Tip:** Always remember that in matrices, the first subscript refers to the row and the second to the column (row, column).

Find the dimensions of the given matrix. C = [3, 4; 8, -5; 2, _]. Identify the given entry. C11 =

Understand how to find the dimensions of a matrix and identify specific elements. In this problem, we explore a 3x2 matrix and how to locate entry C11. Suitable for students in Grades 9-12 learning matrix algebra.

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