Question:
\(If~A=[\begin{matrix}2&1\\ -4&-2\end{matrix}].\) then the value of \(I-A+A^{2}-A^{3}+...is\): (1)
- A. \([\begin{matrix}-1&-1\\ 4&3\end{matrix}]\)
- B. \([\begin{matrix}3&1\\ -4&-1\end{matrix}]\)
- C. \([\begin{matrix}0&0\\ 0&0\end{matrix}]\)
- D. \([\begin{matrix}1&0\\ 0&1\end{matrix}]\)