Linear algebra and geometry: A second course


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  1. Groups of Exceptional Type, Coxeter Groups and Related Geometries.
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Matrix transformations. Functions and linear transformations : Matrix transformations Linear transformation examples : Matrix transformations Transformations and matrix multiplication : Matrix transformations. Inverse functions and transformations : Matrix transformations Finding inverses and determinants : Matrix transformations More determinant depth : Matrix transformations Transpose of a matrix : Matrix transformations.

Alternate coordinate systems bases. Orthogonal complements : Alternate coordinate systems bases Orthogonal projections : Alternate coordinate systems bases Change of basis : Alternate coordinate systems bases.


  1. Linear Algebra Geometry Second Course by Kaplansky Irving - AbeBooks.
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Orthonormal bases and the Gram-Schmidt process : Alternate coordinate systems bases Eigen-everything : Alternate coordinate systems bases. Video 5 minutes 49 seconds Vector intro for linear algebra Vectors.

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Video 6 minutes 21 seconds Real coordinate spaces Vectors. Video 7 minutes 12 seconds Video 5 minutes 44 seconds Focusing on inner product spaces, orthogonal similarity, and elements of geometry, this volume is illustrated with an abundance of examples, exercises, and proofs and is suitable for both undergraduate and graduate courses.

Kaplansky, formerly an instructor at the University of Chicago, overviews the correlation between algebra and geometry and illustrates concepts with examples, exercises, and proofs. Coverage begins with definitions and examples of inner product spaces, and concludes with higher dimensional spaces, noncommutativity, and synthetic foundations of geom.

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ISBN 13: 9780486432335

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Linear Algebra and Geometry: A Second Course

About this Item Language: English. Brand new Book. This volume features examples, exercises, and proofs.


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    Linear algebra and geometry: A second course Linear algebra and geometry: A second course
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