For what values of $x_1, x_2, x_3, x_4$ is the matrix $A$ is invertible?

Asked Apr 22 '16 at 20:12

Active Apr 22 '16 at 20:12

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For what values of $x_1, x_2, x_3, x_4$ is the matrix $A=\begin{pmatrix} 1 & 1 & 1 &1 \\ x_1 & x_2 & x_3 &x_4 \\ x_1^2& x_2^2 & x_3^2 & x_4^2\\ x_1^3& x_2^3 & x_3^3 &x_4^3 \end{pmatrix}$ is invertible

Do I need to calculate det 2x2, 3x3 and so on or?

asked Apr 22 '16 at 20:12

Alena Everdeen

4

https://en.wikipedia.org/wiki/Vandermonde_matrix – Apr 22 '16 at 20:14
The matrix is invertible if and only if the $x_i$ are pairwise different. – Peter Apr 22 '16 at 20:15

For what values of $x_1, x_2, x_3, x_4$ is the matrix $A$ is invertible?

0 Answers0