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 ___

In a square matrix A of order 3, the elements, ai,i's are the sum of

1.	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 ___
Answer» In a square matrix A of order 3, the elements, $a_{i, i}$ 's are the sum of the roots of the equation $x^{2} - (a + b) x + a b = 0$ ; $a_{j, (j - 1)}$ 's are the all unity, $a_{j, (j + 1)}$ 's are product of the roots and rest of the elements are all zero. Then value of the determinant is ___