State whether the following statements are true of false. If false, give a reason.
If A and B are two matrices of orders `3 xx 2 and 2 xx 3` respectively, then their sum A+B is possible.

Answer

To determine whether the statement is true or false, we need to analyze the orders of the given matrices A and B.

1. **Identify the orders of the matrices:**
- Matrix A has an order of \(3 \times 2\) (3 rows and 2 columns).
- Matrix B has an order of \(2 \times 3\) (2 rows and 3 columns).

2. **Understand the condition for matrix addition:**
- Two matrices can be added only if they have the same order (i.e., the same number of rows and columns).

3. **Compare the orders of matrices A and B:**
- Matrix A has 3 rows and 2 columns.
- Matrix B has 2 rows and 3 columns.
- Since the number of rows and columns in both matrices are different, they do not have the same order.

4. **Conclusion:**
- Since the orders of matrices A and B are not the same, their sum \(A + B\) is not possible.

Therefore, the statement is **false**.