Consider the n×nn \times nn×n matrix AAA where Aij=x∣i−j∣A_{ij} = x^{|i-j|}Aij=x∣i−j∣. For n=3n=3n=3, calculate det(A)\det(A)det(A).
(1−x2)2(1-x^2)^2(1−x2)2
1−x21-x^21−x2
1−x41-x^41−x4
0