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Let \( A \) and \( B \) are two square matrices of order \( 2 \times 2 \),
\( \mathrm{P} \) such that \( A=\left[\begin{array}{cc}\frac{1}{2} & 1 \\ -\frac{1}{2} & \frac{1}{3}\end{array}\right] \) and \( B=I+2 A+3 A^{2}+4 A^{3} \) \( +\ldots \). upto infinite terms, if \( I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \), then
(1) \( b_{11}=\frac{2}{25} \)
(2) \( b_{12}=2 b_{21} \)
(3) \( b_{22}=\frac{-9}{25} \)
(4) \( b_{12}=\frac{21}{25} \)
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