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Q.

If matrix  M=[100221001] and let M1  and  M2  be two matrices such that M1=  M44M3+5M2,  M2=  M4+5M22M    then  det(M1M2)  is equal to 

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a

211

b

24

c

27

d

213

answer is C.

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Detailed Solution

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If  (MI)2(M2I)=0M34M2+5M2I=0

M1=2M,  M2=4M3|M1M2|=|8M4|=114

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If matrix  M=[100221001] and let M1  and  M2  be two matrices such that M1=  M4−4M3+5M2,  M2=  M4+5M2−2M    then  det(M1M2)  is equal to