https://file.aiquickdraw.com/mathbot/file/1726756335582xpz3fah4.jpg

The image shows three matrices, with the intent to either add, subtract, or perform matrix operations on them. I'll describe the matrices and clarify the operations involved:

1. First matrix:
   \[
   \begin{bmatrix}
   9 & 13 \\
   1 & 6
   \end{bmatrix}
   \]
   
2. Second matrix (being subtracted from the first):
   \[
   \begin{bmatrix}
   8 & -9 \\
   6 & 3
   \end{bmatrix}
   \]

3. Third matrix (being added):
   \[
   \begin{bmatrix}
   -2 & 1 \\
   -6 & 0
   \end{bmatrix}
   \]

The operation is:
\[
\begin{bmatrix}
9 & 13 \\
1 & 6
\end{bmatrix}
-
\begin{bmatrix}
8 & -9 \\
6 & 3
\end{bmatrix}
+
\begin{bmatrix}
-2 & 1 \\
-6 & 0
\end{bmatrix}
\]

Let's calculate the result step by step.

### Step 1: Subtract the second matrix from the first matrix:
\[
\begin{bmatrix}
9 & 13 \\
1 & 6
\end{bmatrix}
-
\begin{bmatrix}
8 & -9 \\
6 & 3
\end{bmatrix}
=
\begin{bmatrix}
9 - 8 & 13 - (-9) \\
1 - 6 & 6 - 3
\end{bmatrix}
=
\begin{bmatrix}
1 & 22 \\
-5 & 3
\end{bmatrix}
\]

### Step 2: Add the third matrix to the result:
\[
\begin{bmatrix}
1 & 22 \\
-5 & 3
\end{bmatrix}
+
\begin{bmatrix}
-2 & 1 \\
-6 & 0
\end{bmatrix}
=
\begin{bmatrix}
1 + (-2) & 22 + 1 \\
-5 + (-6) & 3 + 0
\end{bmatrix}
=
\begin{bmatrix}
-1 & 23 \\
-11 & 3
\end{bmatrix}
\]

### Final Result:
\[
\begin{bmatrix}
-1 & 23 \\
-11 & 3
\end{bmatrix}
\]

Would you like more details on matrix operations, or do you have any questions?

Here are 5 related questions for further exploration:
1. How do you subtract and add matrices with different dimensions?
2. Can you explain scalar multiplication in matrices?
3. How do you determine if a matrix has an inverse?
4. What is the determinant of a 2x2 matrix?
5. What are some real-world applications of matrices in computer science?

**Tip:** When performing matrix operations, always ensure that the matrices have the same dimensions (i.e., same number of rows and columns) for addition or subtraction to be valid.

Matrix addition and subtraction problem involving three matrices.

Solve a matrix problem with step-by-step instructions for matrix addition and subtraction involving three matrices. The problem features a 2x2 matrix operation, suitable for high school students in grades 9-12. Learn how to handle operations like matrix addition and subtraction.

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