basic linear algebra description


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Some Basic Definitions
Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..
Linear inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..
Linear Inequations
An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables).An inequation is said to be linear if each term of the algebraic expression (or expre..
Linear Inequations
A statement is an assertion or a sentence that is either true or false, but not both. A variable is a symbol that may represent any member of a specified set called replacement set or domain of that variable. A mathematical expression is a symbolic representation for a mem..
Linear Equations in One Variable
An equation is an equality connecting some unknowns. The unknowns are represented by "letters" and are called "the variables". If the equation has only one unknown, it is called "an equal in one variable". The word "Linear" means "of degree one". Hence if only a single variable with deg..
Linear equations in two variables
Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable repre..
Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear.An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degr..
Linear equations in two variables
An equation whose graph is a straight line is called a linear equation. (linear means straight). An equation of degree one is linear. A linear equation in two variables is of the form ax + by = c,where ..
Linear Inequations Summary
A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-plane. A half-plane in the x-y plane is called a closed half-plane if the points on the line separating the half-planes are also included in the half-p..
Linear Equations in One Variable
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 f..
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