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 a, b, c are the roots of the equation x³ – 3x² + 3x + 7 = 0, then the value of
\[\left|\begin{array}{ccc} 2 b-a^{2} & c^{2} & b^{2} \\ c^{2} & 2 a-b^{2} & a^{2} \\ b^{2} & a^{2} & 2 b-c^{2} \end{array}\right|\] is