Given the equation $A + B + C = O$, where $O$ is the zero matrix of the same order as $A$ and $B$ ($2 \times 3$), we need to isolate matrix $C$. By subtracting $(A + B)$ from both sides, we get: $$C = -(A + B)$$
Add the corresponding elements of matrices $A$ and $B$: $$A + B = \begin{bmatrix} 0+(-3) & -3+0 & 4+1 \\ 1+2 & 0+4 & 2+0 \end{bmatrix} = \begin{bmatrix} -3 & -3 & 5 \\ 3 & 4 & 2 \end{bmatrix}$$
Multiply every element of the resulting matrix by $-1$: $$C = -\begin{bmatrix} -3 & -3 & 5 \\ 3 & 4 & 2 \end{bmatrix} = \begin{bmatrix} 3 & 3 & -5 \\ -3 & -4 & -2 \end{bmatrix}$$
Final Answer: Option (B)
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