https://file.aiquickdraw.com/mathbot/file/17236790829388rk9xpth.jpg

To solve the matrix subtraction problem \( A - B \), let's first write down the matrices \( A \) and \( B \) from the image.

Given:

\[
A = \begin{bmatrix} 2 & 7 & 3 \\ 4 & 1 & 8 \end{bmatrix}
\]
\[
B = \begin{bmatrix} 5 & 3 & 1 \\ 9 & 6 & 2 \end{bmatrix}
\]

### Step-by-Step Subtraction

Subtract each corresponding element of matrix \( B \) from matrix \( A \):

1. **First Row:**
   \[
   \begin{bmatrix} 2 - 5 & 7 - 3 & 3 - 1 \end{bmatrix} = \begin{bmatrix} -3 & 4 & 2 \end{bmatrix}
   \]

2. **Second Row:**
   \[
   \begin{bmatrix} 4 - 9 & 1 - 6 & 8 - 2 \end{bmatrix} = \begin{bmatrix} -5 & -5 & 6 \end{bmatrix}
   \]

### Resulting Matrix

The resulting matrix after subtracting \( B \) from \( A \) is:

\[
A - B = \begin{bmatrix} -3 & 4 & 2 \\ -5 & -5 & 6 \end{bmatrix}
\]

Would you like more details or have any questions about this process?

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Here are some related questions to consider:
1. What is matrix subtraction, and how does it differ from matrix addition?
2. Can matrices of different dimensions be subtracted?
3. How does matrix subtraction relate to vector subtraction?
4. What are the properties of matrix subtraction?
5. How can matrix subtraction be applied in solving systems of linear equations?
6. What is the significance of the resulting matrix in terms of vector spaces?
7. How can matrix subtraction be implemented in a programming language like Python?
8. What happens when you subtract a matrix from itself?

**Tip:** When performing matrix subtraction, make sure both matrices have the same dimensions; otherwise, the operation is undefined.

Explore how to solve the matrix subtraction problem A - B with a detailed step-by-step solution. Understand the process of subtracting matrices and the resulting matrix. Suitable for students studying linear algebra in Grades 10-12.

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