Let ∆ = 0 and ∆ c denotes the determinant of cofactors, then ∆ c = ∆ n – 1 , where n (>…

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 :
If a² + b² + c² = λ², then the value of
\[\left|\begin{array}{lll} a^{2}+\lambda^{2} & b+c \lambda & a-b \lambda \\ b-c \lambda & b^{2}+\lambda^{2} & b+a \lambda \\ a+b \lambda & b-a \lambda & c^{2}+\lambda^{2} \end{array}\right|\]×\[\left|\begin{array}{ccc} \lambda & \mathrm{c} & -\mathrm{b} \\ -\mathrm{c} & \lambda & \mathrm{a} \\ \mathrm{~b} & -\mathrm{a} & \lambda \end{array}\right|\] is