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Choose from more than 900 textbooks from leading academic publishing partners along with additional resources, tools, and content. Subscribe to our Newsletter Get the latest tips, news, and developments. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality.

The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. It seems therefore desirable to give permanent form to the lessons of experience so that others can benefit by them and be encouraged to undertake similar work. First, there is no cost to acquire this text, and you are under no obligation whatsoever to compensate or donate to the author or publisher. So in this most basic sense, it is a free textbook. Therefore you can also make as many copies as you like, ensuring that the book will never go out-of-print. The main caveat is that if you make modifications and then distribute a modified version, you are required to again apply the GFDL license to the result so that others may benefit from your modifications. Its peculiar character, too, is that no one possesses the less, because every other possesses the whole of it.

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