MCQ
જો$A=\left[ \begin{matrix} 1 & 1 \\ 1 & 1 \\ \end{matrix} \right]$તો${{A}^{10}}=.......$
- ✓$512A$
- B$1024A$
- C$10A$
- D${{2}^{99}}A$
$A^2 =\left[\begin{matrix} 1 & 1 \\ 1 & 1\end{matrix}\right]\left[\begin{matrix} 1 & 1 \\ 1 & 1\end{matrix}\right]=\left[\begin{matrix} 2 & 2 \\ 2 & 2\end{matrix}\right]$
આવીજ રીતે.
$A^3 =\left[\begin{matrix} 4 & 4 \\ 4 & 4\end{matrix}\right]=\left[\begin{matrix} 2^2 & 2^2 \\ 2^2 & 2^2\end{matrix}\right]$
$\therefore A^{10} =\left[\begin{matrix} 2^9 & 2^9 \\ 2^9 & 2^9\end {matrix}\right]= 512 \left[\begin{matrix} 1 & 1 \\ 1 & 1\end{matrix}\right]=512A$
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