https://file.aiquickdraw.com/mathbot/file/1726793790335oz2evanp.jpg

The image shows a matrix \( A = \begin{bmatrix} -5 & -2 \\ 3 & 2 \end{bmatrix} \), and the question asks for the value of \( [2,4] \).

It's likely that the notation \( [2,4] \) refers to the product of the matrix \( A \) with the vector \( \begin{bmatrix} 2 \\ 4 \end{bmatrix} \).

To solve for this, we perform matrix multiplication:

\[
A \times \begin{bmatrix} 2 \\ 4 \end{bmatrix} = \begin{bmatrix} -5 & -2 \\ 3 & 2 \end{bmatrix} \times \begin{bmatrix} 2 \\ 4 \end{bmatrix}
\]

Let's compute that:

\[
\text{Row 1: } (-5 \times 2) + (-2 \times 4) = -10 + (-8) = -18
\]
\[
\text{Row 2: } (3 \times 2) + (2 \times 4) = 6 + 8 = 14
\]

Thus, the result of \( A \times \begin{bmatrix} 2 \\ 4 \end{bmatrix} \) is:

\[
\begin{bmatrix} -18 \\ 14 \end{bmatrix}
\]

So, the value of \( [2,4] \) is \( \begin{bmatrix} -18 \\ 14 \end{bmatrix} \).

Would you like more details on matrix multiplication, or any other clarification?

Here are 5 related questions to consider:
1. How does matrix multiplication work with higher-order matrices?
2. What are the conditions for two matrices to be multiplied?
3. Can the determinant of matrix \( A \) tell us something interesting about its properties?
4. How does matrix multiplication relate to linear transformations?
5. What is the significance of vectors in matrix equations like this?

**Tip:** Always ensure the dimensions of matrices align properly before performing multiplication.

Diketahui A = [[-5, -2], [3, 2]]. Maka nilai dari [2, 4] adalah?

This problem explores matrix multiplication using matrix A = [[-5, -2], [3, 2]] and vector [2, 4]. Learn how to calculate the result step-by-step. Suitable for students in Grades 10-12.

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