https://file.aiquickdraw.com/mathbot/file/1726719161494k2jq07vs.jpg

The problem in the image is asking for the value of \( a_{23} + a_{31} - a_{21} \), where the matrix \( A \) is given as:

\[
A = \begin{bmatrix}
2 & -1 & 8 \\
9 & -6 & 15 \\
23 & 4 & 0
\end{bmatrix}
\]

Let's break this down:
- \( a_{23} \) refers to the element in the second row and third column, which is \( 15 \).
- \( a_{31} \) refers to the element in the third row and first column, which is \( 23 \).
- \( a_{21} \) refers to the element in the second row and first column, which is \( 9 \).

Now, calculate \( a_{23} + a_{31} - a_{21} \):

\[
a_{23} + a_{31} - a_{21} = 15 + 23 - 9 = 29
\]

Thus, the correct answer is \( C \) (29).

Do you need more details or have any questions? Here are 5 related questions for practice:

1. What is \( a_{12} + a_{32} \) for the given matrix?
2. If matrix \( A \) were a 4x4 matrix, how would you find \( a_{44} \)?
3. How do you define the general term \( a_{ij} \) in a matrix?
4. What are the main properties of matrices used in solving linear equations?
5. How can matrix addition and subtraction be applied to systems of equations?

**Tip**: Always double-check the indices in a matrix to ensure you're referencing the correct element!

Jika diketahui matriks A = [2 -1 8; 9 -6 15; 23 4 0] maka nilai (a_23 + a_31 - a_21) adalah...

Solve the matrix operation problem involving the matrix A = [2 -1 8; 9 -6 15; 23 4 0] and calculate the value of (a_23 + a_31 - a_21). This problem covers key concepts in matrix algebra and element retrieval.

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