https://file.aiquickdraw.com/mathbot/file/1726233986585ae7n86o0.jpg

It looks like you're working on a matrix expression that involves finding a combination of three matrices. The task appears to be to calculate \( 2A - 3B + 4C \), where:

- \( A \), \( B \), and \( C \) are given matrices.

Let me list the matrices as they appear in the image:

\[
A = \begin{bmatrix} 2 & 3 & 2 \\ 4 & -2 & 3 \\ -1 & 5 & 2 \end{bmatrix}, \quad
B = \begin{bmatrix} 2 & 3 & 2 \\ 3 & 5 & 2 \\ 4 & -1 & -2 \end{bmatrix}, \quad
C = \begin{bmatrix} 3 & 1 & 5 \\ 2 & -3 & 5 \\ 2 & 1 & -2 \end{bmatrix}
\]

The task is to compute \( 2A - 3B + 4C \).

I'll calculate it step by step.The result of the matrix operation \( 2A - 3B + 4C \) is:

\[
\begin{bmatrix}
10 & 1 & 18 \\
7 & -31 & 20 \\
-6 & 17 & 2
\end{bmatrix}
\]

Let me know if you need any further details or explanations!

Here are five related questions for further exploration:

1. What is the determinant of matrix \( A \)?
2. How do you find the inverse of a matrix if it exists?
3. How do scalar multiplications affect the properties of a matrix?
4. Can you express the matrix equation as a system of linear equations?
5. What would the matrix product \( A \times B \) look like?

**Tip:** Matrix operations follow specific

Find the result of the matrix operation 2A - 3B + 4C, where matrices A, B, and C are given.

Learn how to calculate the matrix operation 2A - 3B + 4C, with step-by-step instructions. Explore key matrix algebra concepts such as scalar multiplication and matrix addition. Suitable for high school students in Grades 10-12.

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