https://file.aiquickdraw.com/mathbot/file/1729739106851dzv0y9lp.jpg

The image contains two separate matrix addition problems.

### First Problem:
Two 2x3 matrices:
\[
\begin{bmatrix}
3 & 5 & 6 & 7 \\
4 & 8 & 7 & 6
\end{bmatrix}
+
\begin{bmatrix}
3 & 8 & 2 & 4 \\
4 & 3 & 5 & 6
\end{bmatrix}
\]

Matrix addition is performed by adding corresponding elements:
\[
\begin{bmatrix}
3+3 & 5+8 & 6+2 & 7+4 \\
4+4 & 8+3 & 7+5 & 6+6
\end{bmatrix}
=
\begin{bmatrix}
6 & 13 & 8 & 11 \\
8 & 11 & 12 & 12
\end{bmatrix}
\]

### Second Problem:
Two 3x4 matrices:
\[
\begin{bmatrix}
3 & 5 & 6 & 7 \\
8 & 9 & 4 & 3 \\
2 & 3 & 9 & 5
\end{bmatrix}
+
\begin{bmatrix}
3 & 5 & 6 & 7 \\
\frac{1}{2} & 8 & 7 & 6 \\
\frac{1}{2} & 3 & \frac{1}{2} & 5
\end{bmatrix}
\]

Adding the corresponding elements:
\[
\begin{bmatrix}
3+3 & 5+5 & 6+6 & 7+7 \\
8+\frac{1}{2} & 9+8 & 4+7 & 3+6 \\
2+\frac{1}{2} & 3+3 & 9+\frac{1}{2} & 5+5
\end{bmatrix}
=
\begin{bmatrix}
6 & 10 & 12 & 14 \\
8.5 & 17 & 11 & 9 \\
2.5 & 6 & 9.5 & 10
\end{bmatrix}
\]

Would you like more details on any specific part of the solution or have additional questions?

Here are 5 related questions:
1. What are the conditions required for matrix addition to be valid?
2. How would you subtract these matrices instead of adding them?
3. What are the general properties of matrix addition (commutativity, associativity, etc.)?
4. How would these matrix problems change if multiplication was involved instead of addition?
5. Can you think of a real-world application of matrix addition?

**Tip:** When adding matrices, always make sure both matrices have the same dimensions.

Understand how to perform matrix addition with examples of 2x3 and 3x4 matrices. This problem involves adding corresponding elements in matrices of the same size. Detailed step-by-step solutions with fractional numbers included. Suitable for Grades 10-12.

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