Teaching HSSC TGT 2023 Mock Test (Latest Pattern) Mathematics Determinants Application of Determinants
Consider the determinant
Δ = \(\left|\begin{array}{lll}\text{a}_{11} & \text{a}_{12} & \text{a}_{13} \\ \text{a}_{21} & \text{a}_{22} & \text{a}_{23} \\ \text{a}_{31} & \text{a}_{32} & \text{a}_{33}\end{array}\right|\)
If a13 = yz, a23 = zx, a33 = xy and the minors of a13, a23, a33 are respectively (z − y), (z − x), (y − x) then what is the value of Δ ?
1
(z − y) (z − x) (y − x)
2
(x − y) (y − z) (x − z)
3
(x − y) (z − x) (y − z) (x + y + z)
4
(xy + yz + zx) (x + y + z)
5
Not Attempted