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English: Linear Algebra by Jim Hefferon, along with its answers to exercises, is a text for a first undergraduate course. It is Free. It is Free. Use it as the main book, as a supplement, or for independent study.
File:Jim Hefferon, Linear algebra, third edition, answers.pdf Licensing This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic license.
Jim Hefferon (born October 12, 1958) is a Professor of Mathematics at Saint Michael's College. He is known for his award-winning textbook on linear algebra that is available for free download, with LaTeX source, and for his activity in the TeX community.
This is a specific-source template for the textbook Linear Algebra by Jim Hefferon.Transcluding specific-source templates rather than writing out citations reduces code duplication across articles and allows improvements — such as adding a zbMATH number or wikilinking the name of an author or editor — to apply to all uses of the source at once.
Linear algebra is the branch of mathematics concerning linear equations such as: ... Hefferon, Jim (2020). Linear Algebra (4th ed.). Ann Arbor, Michigan: ...
In mathematics, the linear span (also called the linear hull [1] or just span) of a set of elements of a vector space is the smallest linear subspace of that contains . It is the set of all finite linear combinations of the elements of S , [ 2 ] and the intersection of all linear subspaces that contain S . {\displaystyle S.}
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In linear algebra, two rectangular m-by-n matrices A and B are called equivalent if = for some invertible n-by-n matrix P and some invertible m-by-m matrix Q.Equivalent matrices represent the same linear transformation V → W under two different choices of a pair of bases of V and W, with P and Q being the change of basis matrices in V and W respectively.
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