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This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices. Linear equations
The math template formats mathematical formulas generated using HTML or wiki markup. (It does not accept the AMS-LaTeX markup that <math> does.) The template uses the texhtml class by default for inline text style formulas, which aims to match the size of the serif font with the surrounding sans-serif font (see below).
Conversely, every line is the set of all solutions of a linear equation. 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 ...
This page lists ways to create several kinds of compact tables of contents (TOC). Please note that a normal compact TOC will not work when put on Category pages; this page contains a separate section instructing you how to put a compact TOC on Category pages.
Contents move to sidebar hide (Top) 1 Purpose. ... Toggle Usage subsection. 2.1 TemplateData. Toggle the table of contents. Template: Equation/doc. Add languages. Add ...
Contents move to sidebar hide (Top) ... 1.2 Using Citation Style 2. Toggle the table of contents. Template: Hefferon Linear Algebra/doc. Add languages.
Also supports Microsoft Word equations, Wolfram Alpha to see the computation results and answers, MathJax, Google Docs equations, MathType equations, Wiki equations, AsciiMathML, and Text-To-Speech to read out math expressions. Personal Edition is for general purpose use.
The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...