Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (>…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let ∆ = 0 and ∆c denotes the determinant of cofactors, then ∆c = ∆n – 1, where n (> 0) is the order of ∆.
On the basis of above information, answer the following questions :
Suppose a, b, c ∈ R, a + b + c > 0, A = bc – a2 B = ca – b2 and C = ab – c2 and
\[\left|\begin{array}{lll} \mathrm{A} & \mathrm{~B} & \mathrm{C} \\ \mathrm{~B} & \mathrm{C} & \mathrm{~A} \\ \mathrm{C} & \mathrm{~A} & \mathrm{~B} \end{array}\right|\]= 49, then \[\left|\begin{array}{lll} \mathrm{a} & \mathrm{~b} & \mathrm{c} \\ \mathrm{~b} & \mathrm{c} & \mathrm{a} \\ \mathrm{c} & \mathrm{a} & \mathrm{~b} \end{array}\right|\] equals
- –7
- 7
- –2401
- 2401
Answer
(A) –7
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