24. Evaluate the determinant of A where *x_i* = *i* and *k* = 4.

$$

A =

\begin{bmatrix}

1 & 1 & 1 & \cdots & 1 \\

x_1 & x_2 & x_3 & \cdots & x_k \\

x_1^2 & x_2^2 & x_3^2 & \cdots & x_k^2 \\

\vdots & \vdots & \vdots & & \vdots \\

x_1^{k-1} & x_2^{k-1} & x_3^{k-1} & \cdots & x_k^{k-1}

\end{bmatrix}

$$