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Question

In a square matrix A of order 3, the elements, ai,i's are the sum of the roots of the equation x2−(a+b)x+ab=0; aj,(j−1)'s are the all unity,aj,(j+1)'s are product of the roots and rest of the elements are all
zero. Then value of the determinant is ___

A
(a2+b2)(a+b)
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B
0
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C
1
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D
a2+b2
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