https://file.aiquickdraw.com/mathbot/file/1726707461128vv7100e2.jpg

The question is asking for the value of \( a_{12} + 6a_{23} - 4a_{13} \) from matrix \( A \). Let's break it down step-by-step.

1. **Matrix \( A \) is given as:**
   \[
   A = \begin{pmatrix}
   -2 & 3 & 4 \\
   -5 & 0 & 7
   \end{pmatrix}
   \]

2. **Identify the elements needed:**
   - \( a_{12} \) is the element in the 1st row and 2nd column, which is 3.
   - \( a_{23} \) is the element in the 2nd row and 3rd column, which is 7.
   - \( a_{13} \) is the element in the 1st row and 3rd column, which is 4.

3. **Substitute these values into the expression:**
   \[
   a_{12} + 6a_{23} - 4a_{13} = 3 + 6(7) - 4(4)
   \]

4. **Calculate step-by-step:**
   - \( 6 \times 7 = 42 \)
   - \( 4 \times 4 = 16 \)
   - Thus, \( 3 + 42 - 16 = 29 \)

So, the value of the expression is **29**, which corresponds to option **C**.

Do you want further details or have any questions?

Here are some related questions:
1. How do you determine the elements of a matrix?
2. What is the general formula for finding elements in a matrix?
3. How do you perform matrix addition and subtraction?
4. What are some applications of matrix operations?
5. How do you multiply a matrix by a scalar?

**Tip:** Always verify matrix dimensions when performing operations to ensure they are compatible.

Diketahui matriks A = [(-2, 3, 4), (-5, 0, 7)]. Jika aij = menyatakan elemen matriks A pada baris ke-i dan kolom ke-j, nilai dari a12 + 6a23 - 4a13 = ...

Learn how to solve a matrix operation problem where the value of a12 + 6a23 - 4a13 is calculated step-by-step using matrix A = [(-2, 3, 4), (-5, 0, 7)]. Suitable for high school students, this problem involves scalar multiplication and matrix element identification.

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