Step 1 :We are given three matrices A, B, and C, and we are asked to find the sum of these matrices, if possible.
Step 2 :The operation of adding matrices is possible if and only if the matrices have the same dimensions. In this case, all matrices A, B, and C are 3x2 matrices, so the addition is possible.
Step 3 :The result of the addition will be a new 3x2 matrix where each element is the sum of the corresponding elements in matrices A, B, and C.
Step 4 :Matrix A is \[\begin{array}{cc} -4 & 8 \\ 0 & 0 \\ -5 & -2 \end{array}\]
Step 5 :Matrix B is \[\begin{array}{cc} -5 & -10 \\ -5 & -5 \\ 6 & 5 \end{array}\]
Step 6 :Matrix C is \[\begin{array}{cc} 9 & -3 \\ 3 & -5 \\ -9 & 0 \end{array}\]
Step 7 :The sum of matrices A, B, and C is \[\begin{array}{cc} 0 & -5 \\ -2 & -10 \\ -8 & 3 \end{array}\]
Step 8 :Final Answer: \(\boxed{\begin{array}{cc} 0 & -5 \\ -2 & -10 \\ -8 & 3 \end{array}}\)