1. The problem asks why the addition of matrix A and matrix B is not possible. 2. Matrix A is a 2x2 matrix: $$A = \begin{bmatrix}6 & 6 \\ 5 & 2\end{bmatrix}$$ 3. Matrix B is a 2x3 matrix: $$B = \begin{bmatrix}3 & 0 & 2 \\ 0 & 0 & -2\end{bmatrix}$$ 4. The rule for matrix addition states that two matrices can be added only if they have the same dimensions (same number of rows and columns). 5. Matrix A has 2 rows and 2 columns, while matrix B has 2 rows and 3 columns. 6. Since the number of columns in matrix A (2) is not equal to the number of columns in matrix B (3), matrix addition is not possible. 7. Therefore, the correct reason is: "matrix A and matrix B have different order" (different dimensions). Final answer: Matrix addition is not possible because matrix A and matrix B have different order (dimensions).