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Question

If A=[aij]3×3 such that 
aij=⎪ ⎪ ⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪ ⎪ ⎪3 when i=j[ij] when j>i[ji] when i>j
then {det(adj(adjA)8} is 
(where {.} represents fractional part function and [.] represents greatest integer function)
 


A
0
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B
18
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C
116
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D
14
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Solution

The correct option is B 18
 A=300030003|A|=33det(adj(adjA))=(33)4
{det(adj(adjA)8}={968}={(8+1)68}=18

Mathematics

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