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  2. Linear algebra - Wikipedia

    en.wikipedia.org/wiki/Linear_algebra

    In three-dimensional Euclidean space, these three planes represent solutions to linear equations, and their intersection represents the set of common solutions: in this case, a unique point. The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as:

  3. Outline of linear algebra - Wikipedia

    en.wikipedia.org/wiki/Outline_of_linear_algebra

    Download as PDF; Printable version; In other projects ... This is an outline of topics related to linear algebra, the branch of mathematics concerning linear ...

  4. System of linear equations - Wikipedia

    en.wikipedia.org/wiki/System_of_linear_equations

    Two linear systems using the same set of variables are equivalent if each of the equations in the second system can be derived algebraically from the equations in the first system, and vice versa. Two systems are equivalent if either both are inconsistent or each equation of each of them is a linear combination of the equations of the other one.

  5. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    Such courses usually then go into simple algebra with solutions of simple linear equations and inequalities. Algebra I is the first course students take in algebra. Although some students take it as eighth graders, this class is most commonly taken in ninth or tenth grade, [ 44 ] after the students have taken Pre-algebra.

  6. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    2.1 Quadratic Equations and Inequalities; 2.2 Types of Roots of Quadratic Equations; 2.3 Quadratic Functions; 3) Systems of Equations 3.1 Systems of Linear Equations in Three Variables; 3.2 Simultaneous Equations involving One Linear Equation and One Non-Linear Equations; 4) Indices, Surds and Logarithms 4.1 Law of Indices; 4.2 Laws of Surds

  7. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    The scope of algebra thus grew to include the study of algebraic structures. This object of algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. [36] Some types of algebraic structures have useful and often fundamental properties, in many areas of mathematics.

  8. USA falls to Finland: World juniors hockey 2025 schedule, how ...

    www.aol.com/usa-looks-defend-world-juniors...

    Dec. 28: United States 5, Latvia 1. Danny Nelson scored two goals, including 1:58 into the first period. The USA got goals from Ryan Leonard, Zeev Buium and Nelson in the second period to pull away.

  9. Linear equation - Wikipedia

    en.wikipedia.org/wiki/Linear_equation

    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 ...

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