The Vandermonde Matrix and Polynomial Interpolation

The Vandermonde matrix is a used in the calculation of interpolating polynomials but is more often encountered in the proof that such polynomial interpolates exist. It is also often encountered in the study of determinants since it has a really nice determinant formula.

Chapters
0:00 - Introduction
01:01 - Uniqueness
02:30 The Vandermonde Matrix

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The Approximation Theory series is based on the book "Approximation Theory and Methods" by M.J.D. Powell:
https://amzn.to/3CXQpQZ

Books used in research for this video:

Analysis of Numerical Methods by Isaacson and Bishop Keller - https://amzn.to/31uVljh

Linear Algebra and Matrix Theory by Evar D. Nering - No link available.

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Editing - DaVinci Resolve
Mic - Blue Yeti X - https://amzn.to/3nJbmdO

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