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Mathematics LibreTexts

I. Linear Algebra

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The first part of this course is on linear algebra. We begin by introducing matrices and matrix algebra. Next, the important algorithm of Gaussian elimination and LU-decomposition is presented and used to solve a system of linear equations and invert a matrix. We then discuss the abstract concept of vector and inner product spaces, and show how these concepts are related to matrices. Finally, a thorough presentation of determinants is given and the determinant is then used to solve the very important eigenvalue problem.

Thumbnail: 3 planes intersect at a point. (CC BY-SA 4.0; Fred the Oyster).


This page titled I. Linear Algebra is shared under a CC BY 3.0 license and was authored, remixed, and/or curated by Jeffrey R. Chasnov via source content that was edited to the style and standards of the LibreTexts platform.

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