Invertible matrix

Invertible matrix

Invertibility

Published in Crista Arangala, Exploring Linear Algebra, 2019

If A is an n × n invertible matrix, to find the inverse, augment A with In, (A|In), and perform elementary row operations, or left multiply A with elementary matrices, until the left-hand side is In. At this point, you have found the inverse of A on the right-hand side of your augmented matrix, (In|A−1).

An easy design for interval observers

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Journal Information

Published in International Journal of Control, 2020

Luc Meyer, Dalil Ichalal, Vincent Vigneron

For any matrix , denotes its trace, its transpose and its pseudo-inverse. For any square matrix , denotes its determinant. For any invertible matrix , denotes its inverse.

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Invertibility

An easy design for interval observers