Calculate the determinant of the matrix

[mathodman]

Let for j = 0,. . ., n aj = a0 + jd, where a0 and d are fixed real numbers.
Calculate the determinant of the matrix A of size (n + 1) × (n + 1). Matrix A is below

[swansont]

What have you done so far to solve this?

[mathodman]

I don't know, i kind of got stuck on this one. 

[MotleyNoumenon]

Apply the definition? look at the symmetry, maybe use some known decomposition of this sort of matrix and apply properties of the determinant.. these are just thoughts..

[Mordred]

As I don't simply want to give the answer. Once you have the matrix entries and type of matrix figured out.

Follow the following rules to get the determinant

https://www.mathsisfun.com/algebra/matrix-determinant.html