linear relation between two 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..

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..

Assume a rod of material having a length L o at initial temperature T o . When the temperature changes by D T, the length changes by D L. Experiment shows that if D T is not too large (say, less than 100 o C or so), D L is directly proportional to D T. If two rods made of the same materia..

We recall from our earlier classes that a system of linear equation with two variables is given by This system of linear equation may have either one solution or infinitely many solutions or no solutio..

Variable Valency - Normally metals donate electrons from their valence shell so as to form positively charged ions such that the charge on the ion is equal to its electropositive valency. However, in transition elements, an atom loses electrons from the shell next to the valence shell (pe..

Consider an example. A person was asked to measure the thickness of a coin. He recorded the following readings: (i) 0.2 cm with ruler (ii) 0.23 cm with vernier (iii) 0.231 cm with micrometer The accuracy of thickness of the coin depended on the instrument used for measuring the thickness..

The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decisio..

The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c 1 x 1 + c 2 x 2 + +c n x n x 1 , x 2 , ....x n are called decision variable..

The above discussion leads to find the solution of a system of linear equations in two variables by using Cramer's rule. Cramer's rule suggests the use of determinants to solve a system of linear equations. Let us denote a 1 b 2 - a 2 b 1 ..

The relative complement of set B in set A is the complement of B in ..