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.
Know MoreA 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 MoreEveryday budgeting and other financial issues often use linear equations. Linear equations involve two values that change according to a consistent pattern.
Full Answer >Math formulas are used to define relationships between a number of variables. Although math formulas can be expressed in the form of equations, not all equations are math formulas. The variables in an equation are denoted by symbols such as "X" or "Y", which represent values not already known. For example, the math formula for working out the volume of a cube, or box, is given by V= lwh.
Full Answer >To solve an equation in one variable graphically, first manipulate the equation to put it in the form f(x) = 0, where x represents the variable present in the equation. Then use mathematical software, a graphing calculator or graph paper to plot the line y = f(x). The solution to f(x) = 0 is the point or points at which the line crosses the x-axis.
Full Answer >A system of equations is a group of multiple equations solved simultaneously to reach the same or multiple solutions. Many systems of equations can be graphed on a coordinate plane for easy visualization and solving. However, not all systems have solutions, and some have many solutions.
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