Consider the matrix

in my next post.
A.
Using row operations, and showing your working, show that
Det (A) = (b − a)(c − a)(c − b).
The matrix A is an example of a Vandermonde matrix. Vandermonde matrices arise in
many applications, including polynomial interpolation. Let a = 0.1, b = 0.2, c = 0.3 and
evaluate Det (A).

Question

Consider the matrix

in my next post.
A.
Using row operations, and showing your working, show that
Det (A) = (b − a)(c − a)(c − b).
The matrix A is an example of a Vandermonde matrix. Vandermonde matrices arise in
many applications, including polynomial interpolation. Let a = 0.1, b = 0.2, c = 0.3 and
evaluate Det (A).

anonymous · Answer

$$A=\left[\begin{matrix}1 & a & a^2\ 1 & b & b^2 \ 1 & c & c^2\end{matrix}\right]$$

anonymous · Answer

Do you know how to calculate the determinant of a 3x3 matrix?