Solve this following

Question:

If $A=\left(\begin{array}{cc}1 & -1 \\ 2 & -1\end{array}\right)$ and $B=\left(\begin{array}{cc}a & 1 \\ b & -1\end{array}\right)$ and

$(A+B)^{2}=\left(A^{2}+B^{2}\right)$ then

A. $a=2, b=-3$

B. $a=-2, b=3$

C. $a=1, b=4$

D. none of these

Solution:

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