Series Matrix

Algebra Level 3

\[\large {\begin{bmatrix} 2 & 1 \\ -4 & -2 \end{bmatrix}}\]

Denote the matrix above as \(A\). Find the value of series below?

\[ I + 2A + 3A^2 + 4A^3 + \ldots \]

For more problems see this