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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.
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.
Original file (1,287 × 1,666 pixels, file size: 3.49 MB, MIME type: application/pdf, 98 pages) This is a file from the Wikimedia Commons . Information from its description page there is shown below.
1 Linear equations. 2 Matrices. ... Download as PDF; Printable version; ... This is an outline of topics related to linear algebra, the branch of mathematics ...
Download as PDF; Printable version ... now called Gaussian elimination appears in the ancient Chinese mathematical text Chapter Eight: ... (June 1, 1977), Linear ...
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The phrase "linear equation" takes its origin in this correspondence between lines and equations: a linear equation in two variables is an equation whose solutions form a line. If b ≠ 0 , the line is the graph of the function of x that has been defined in the preceding section.
is the linear combination of vectors and such that = +. In mathematics, a linear combination or superposition is an expression constructed from a set of terms by multiplying each term by a constant and adding the results (e.g. a linear combination of x and y would be any expression of the form ax + by, where a and b are constants).