How Well Do You Know Matrices?

Algebra Level 1

If α=[1648] \alpha =\begin{bmatrix} 1 & -6 \\ 4 & 8 \end{bmatrix} and β=[2483],\beta =\begin{bmatrix} 2 & 4 \\ 8 & 3 \end{bmatrix}, what is the value of 3α2β?{ 3\alpha }-{ 2\beta }?

Express your answer as the sum of all elements in the final matrix.

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