114.215.154.89. Part of Springer Nature. Using algebra, you can give a recipe for solving any equation of this form: if ax+b=c, then x=(c-b)/a. Linear algebra is the study of vectorspaces or more general modules. Over 10 million scientific documents at your fingertips. Algebra involves the use of known variables and fixed numbers in equations to find the values of unknown numbers. Linear Algebra is prominent everywhere in our every day life. In this chapter we illustrate this fact using five different applications: The PageRank algorithm for ranking the importance of documents, no claims discounting schemes of car insurances, production planning in a plant, future profit estimation of companies, and circuit simulation. This process is experimental and the keywords may be updated as the learning algorithm improves. This involved modelling those prob- lems and then fi nding solutions. © 2020 Springer Nature Switzerland AG. We first start with a slight introduction to rings. These keywords were added by machine and not by the authors. This service is more advanced with JavaScript available, Linear Algebra pp 1-7 | Linear Equations Applications In real life, the applications of linear equations are vast. People use algebra in their daily lives when they make decisions about health, fitness, financial and money matters and when cooking. Not logged in So whenever you have to solve one of these, you don’t have to go through the whole process of rearranging the equation. One of the most helpful ways to apply linear equations in everyday life is to make predictions about what will happen in the future. Linear Algebra is prominent everywhere in our every day life. In this chapter we illustrate this fact using five different applications: The PageRank algorithm for ranking the importance of documents, no claims discounting schemes of car insurances, production planning in a plant, future profit estimation of companies, and circuit simulation. Cite as. Instead you can just plug your numbers a, b and c into the recipe and get the answer. Not affiliated A ring is a structure which behaves a lot like you’re used to. Originally Answered: What is linear algebra and what are its applications? To tackle real-life problems using algebra, we convert the given situation into mathematical statements in such a way that it clearly illustrates the relationship between the unknowns (variables) and the information provided. What is Algebra ? We have already seen how practical applications of algebra can be used to solve equations. Read our linear equations article to see a practic… You will often see equations like 3x+4=5, where you want to find x. Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. Project Summary The aim of this project was to give some ex- amples where Linear Algebra can be useful in solving real life problems, which include physics problems. As such, it includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. Financial planning is an area in daily life where algebra is used. If a bake sale committee spends $200 in initial start up costs and then earns $150 per month in sales, the linear equation y = 150x - 200 can be used to predict cumulative profits from month to month. Elementary algebra is essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. This is a preview of subscription content, © Springer International Publishing Switzerland 2015, https://doi.org/10.1007/978-3-319-24346-7_1, Springer Undergraduate Mathematics Series.