basic linear algebra elements


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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..
Some Basic Definitions
Polynomials - An expression of the form in which a i are numbers belonging to some number system and 'n' is a non-negative integer, is called a polynomial. a i are called the coefficients of if a o 0, the polynomial is said to be of degree ..
Inverse of an element
f - 1 (b) = {a|b = f (a)..
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
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 alge..
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
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 ..
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 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 represents a plane. A simple linear ..
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..
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