If \( A=\left[\begin{array}{rr}1 & -1 \\ 2 & -1\end{array}\right], B=\left[\begin{array}{rr}a & ...

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If \( A=\left[\begin{array}{rr}1 & -1 \\ 2 & -1\end{array}\right], B=\left[\begin{array}{rr}a & 1 \\ b & -1\end{array}\right] \) and \( (A+B)^{2}=A^{2}+B^{2} \), then values of \( a \) and \( b \) are
(a) \( a=4, b=1 \)
(b) \( a=1, b=4 \)
(c) \( a=0, b=4 \)
(d) \( a=2, b=4 \)
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