Math essay Example | Topics and Well Written Essays - 1000 words

Math - Essay ExampleThe first prototype is from Physics. Suppose that we ar given three objects, one with a known potty of 2 kg, and are asked to play the unknown masses. Suppose further that experimentation with a meter stick produces these dickens balances.Since the number of moments on the left of from each one balance equals the sum of moments on the right (the moment of an object is its mass times its distance from the balance point), the two balances give this system of rules of two equations (Hefferon).The second example of a linear system is from Chemistry. We can mix, under controlled conditions, toluene C7H8 and nitric acid HNO3 to produce trinitrotoluene C7H5O6N3 on with the byproduct water (conditions have to be controlled very well, indeed-trinitrotoluene is better known as TNT). In what balance should those components be mixedOur next example is about solving a riddle. There are two groups of people X and Y having certain number of persons in each group. If a person from X leaves to join Y then Y becomes double of X. If a person leaves Y to join X then they both become equal to each other. How many persons are there in each groupThe objective is to determine if such system of linear equations has a solution or not. That is to find out if there exist values of x1 to xn which when fed into these equation will simultaneously satisfy altogether the equations. If true then the system is said to be consistent or else it is inconsistent (Matthews).MATRICESThe above system of equations can also be briefly written as,The matrix is called the coefficient matrix of the system of equations as it scarce has the coefficients of variables listed in it. If this matrix were also to include the constants involved in the equations then it would be called an augmented matrix of the system and would be written as,Three elementary track operations can be performed on matrices which do not affect the solution of linear equations.1. Interchanging two rows2 . Multiplying a row by a non-zero number3. Adding a multiple of one row to anotherWe will try to solve the future(a) equations with the help of a matrix and then applying any or all of the appropriate elementary row o