R. Harte

will speak on

Cofactor Matrix Theory

Time: 3:00PM
Date: Tue 7th February 2023
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: The Adjugate, or ``classical adjoint'', of a square matrix is constructed by a curiously elaborate routine: striking out the row and the column of a generic entry of a $(k+1)\times(k+1)$ matrix, replacing the entry by the Determinant of the $k\times k$ matrix thus revealed, then moving the resulting number to its mirror image in the diagonal, and finally either changing its sign or not. Since the determinant is itself derived from a $k\times k$ matrix, the stage would appear to be set for an induction. In this talk we try to ride two horses: on the one hand to provide this induction, and on the other to embed it a more abstract, axiomatic, environment.

https://ucd-ie.zoom.us/j/63384811207

(This talk is part of the Analysis series.)

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