Determinants | Matrices

Alternant matrix

In linear algebra, an alternant matrix is a matrix formed by applying a finite list of functions pointwise to a fixed column of inputs. An alternant determinant is the determinant of a square alternant matrix. Generally, if are functions from a set to a field , and , then the alternant matrix has size and is defined by or, more compactly, . (Some authors use the transpose of the above matrix.) Examples of alternant matrices include Vandermonde matrices, for which , and Moore matrices, for which . (Wikipedia).

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What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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Adjugate Matrix

In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist

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Related pages

Linear independence | Alternant code | Coding theory | Transpose | Linear algebra | Determinant | Wronskian | Vandermonde matrix | Matrix (mathematics) | Function space | Schur polynomial