Talk:Value of Vandermonde Determinant/Formulation 1/Proof 3
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Original text:
We can see that statement $P \left({x}\right) = 0$ holds true for all $x_1, x_2, \cdots x_{n-1}$ because if $x=x_1, x_2, \cdots x_{n-1}$ starting determinant would have two equal rows and by Square Matrix with Duplicate Rows has Zero Determinant would $V_n = 0$.
This article, or a section of it, needs explaining. In particular: The meaning of the above statement needs to be made clearer, and the logical sense turned into a linear flow. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Explain}} from the code. |
- Moved statement higher up so it reads linearly.
- Fixed one typo $x_{n-1} \to x^{n-1}$ and changed "returning" to "evaluating at".
- The cofactor expansion is missing checkerboard signs but the minors are correct. Not fixed.--Gbgustafson (talk) 11:03, 6 November 2019 (EST)