basic linear algebra elements


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Linear Equations in One Variable
An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable and of first order (i.e., its highest power is one) i..
To plot the graph of a linear equation
Re-write the given equation expressing one term in terms of the other..
Solving linear equations
The process of finding the value of the unknown quantity for which the equation is true, is called solving the equation. The value so found is called the root or solution of the equation.The process of finding the value of the unknown quantity for which the equation is true, is called solving the e..
Linear Equation Graphical representation
Rectangular axes - The position of a point in a plane is fixed by selecting two axes of reference which are formed by combining two number lines at right angles so that their zeros coincide. The horizontal number line is called x-axis and the vertical number line is called y-axis. The point of inte..
Summary Linear Equations in One Variable
Summary Linear Equations in One Variable - A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also c..
Summary Linear Equations in One Variable
A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a ..
Summary Linear equations in two variables
An equation is called a Linear equation in one variable or an equation of degree one in one variable, if only a single variable with degree one occurs in the equation. An equation is called a Linear equation in one variable or an equation of degree one in one variable, if o..
Graph of Linear Equation in one variable
ax + b = 0 is a linear equation in one variable. Consider the equation 2x + 4 = 0 2x = -4 x = -2 Since this equation is independent of y, for all values of y, x = -2 Hence x = -2 is a line parallel to the y-axis at x = -2. Consider the equation y - 5 = 0 y - 5 = 0 y = 5 Since this equatio..
Linear equations in two variables
A linear equation of the form ax + by + c = 0 where a = 0, b 0 is called a linear equation in two variable..
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