# Matrix Multiplication

Algebra Level 3

Let $$A, B$$ and $$C$$ be matrices such that $$A = \begin{pmatrix} 1 & 2 \\ 3 & 1 \\ 2 & 3 \end{pmatrix}$$, $$B = \begin{pmatrix} 1 & 2 & 2 \\ 2 & 4 & 3 \end{pmatrix}$$ and $$C=AB$$.

What is the sum of all the elements (entries) of matrix $$C$$?

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