Q.

If  A,B,CM2(R),  det(A)>0 ,  det(B)>0 ,  det(C)>0 ,  det(ABC)=8 and D=det(A+B+C)+det(A+B+C)+det(AB+C)+det(A+BC) (where M2 (R) represents   2×2 matrics with real entries). Then value of D can be 

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a

36

b

48

c

24

d

12

answer is A, B, C.

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Detailed Solution

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D12(det(A).det(B).det(c))13D12.(8)13D24

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