Let \( m \) be a positive integer \( \& \)
\[
D_{r}=\left|\begin{array}{ccc}
2 r-1 & { }^{m} C_{....
Let \( m \) be a positive integer \( \& \)
\[
D_{r}=\left|\begin{array}{ccc}
2 r-1 & { }^{m} C_{r} & 1 \\
m^{2}-1 & 2^{m} & m+1 \\
\sin ^{2}\left(m^{2}\right) & \sin ^{2}(m) & \sin ^{2}(m+1)
\end{array}\right|(0 \leq r \leq m),
\]
P
then the value of \( \sum_{r=0}^{m} D_{r} \) is given by:
(A) 0
(B) \( \mathrm{m}^{2}-1 \)
(C) \( 2^{\mathrm{m}} \)
(D) \( 2^{m} \sin ^{2}\left(2^{m}\right) \)
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0