Linear algebra originated as the study of linear equations and the relationship between a number of variables. Linear algebra specifically studies the solution of simultaneous linear equations.
Continue ReadingA linear equation is defined as a mathematical concept in which no variable is multiplied by itself or any other variable. For instance, the equation 4x + 2y - z = 0 is a linear equation in three variables, while the equation 2x - y = 7 is a linear equation in two variables. From linear algebra emerges two important concepts: vectors and matrices. The vector corresponds to directed line segments, and the matrix finds the coefficients of a simultaneous equation.
Learn more about AlgebraBasic problems in Algebra I typically teach students to solve one-step equations to find variables with addition, subtraction, multiplication and division. From there, students learn to solve two-step equations.
Full Answer >In algebra, the method of substitution is used to simplify problems by reducing the number of variables or quantities. The specific details of the solution depend on the original problem.
Full Answer >There are several differences including the number of variables as well as other nomials, their graphed appearance, and complexity of representation or relationship. A linear equation is the mathematical representation of a relationship that can be visualized, or graphed, as a straight line. A general function is a representation of a relationship between two or more pairs that can result in any type of line when graphed out.
Full Answer >To learn algebra, you need to understand the basic principles of how to balance equations and then apply them to progressively harder problems. You should start by finding out what equations, variables and constants are before learning the rules for balancing equations.
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