The Application And Base Of The Matrix Algebra In Everyday Life

The application and base of the matrix algebra in everyday life

Introduction

To understand the matrix algebra, certain terms must be handled. First, a matrix is defined as "a rectangular arrangement of elements arranged in n rows and p columns". (Uriel, S.F., p. 1) The matrices are commonly designated with the letter A and within the square brackets are the values ordered in rows and columns. To name the elements, the following method is used: “A generic element of matrix A is designated by AIJ where the first subscript I refers to the row in which the element is located, while the second subscript J refers to thecolumn.”(Uriel, S.F., p. 1)

Developing

Uriel (s.F.) Explain that in the area the vectors are used, which can have a number of rows and 1 column or vice versa. However, this is only the beginning, since within matrix algebra you can find different types of matrices such as transposed, square, symmetrical, diagonal, climbing and identity. In turn, different types of operations are carried out with them such as seeking their equality, their sum, multiplication, among others.

Author Laura (2012) explains that matrices are used in different areas. The best known are in geography, programming and economy. In geography they are used to calculate the distances between two places. The matrices have helped the population quite a lot, since thanks to them, GPS can determine the shortest way between two points. In programming they are handled when it is necessary to use a high amount of variables.

It is not mandatory that the programmer codifies variable per variable, but with the help of a matrix can do so in a matter of minutes. For the economy, the matrices allow to guide the productive sectors, forecast the demands for production and decipher the economic relations of the sectors. The matrix algebra is in the working life of many professionals.

The operations that are most carried out of matrices are sum, subtraction and multiplication. As Ricardo (2013) explains to calculate what is the shortest distance between two points it is necessary to multiply the matrices to identify if it is possible to lessen the path. Therefore, throughout the day there are countless multiplications of matrices worldwide, because the inhabitants or transport companies constantly use their GPS. On the other hand, for the elaboration of graphics in the economy, finances tend to have high and low which includes sums and subtractions. In this way, production and demand can be analyzed.

conclusion

In conclusion, matrix algebra is the basis for many of the applications or jobs that people do. Although the issue may seem very complex, it is important to handle the terms such as matrix, vector and know how to designate its elements;Likewise, you should know how to carry out matrices operations and especially the most common such as sum, subtraction and multiplication. Thanks to matrix algebra today we have modern tools such as GPS that helps transport companies and inhabitants. Also, it facilitates the coding work of variables to programmers and are a useful tool in the area of the economy. It is certainly essential that a student, essentially of engineering, handles what matrix algebra is, since it can become the basis for a project in the future.

References

• Laura. (2012). Matric applications. Recovered from: https: // mathematics.Laguia2000.com/General/Applications-of-Matrices
• Ricardo p. (2013). What are Maths for? Arrays. Recovered from: https: // sites.Google.com/site/science andmuchomas/home/articles/paraquesirvenlas mathematicsmatrices
• Uriel, e. (S, F.). Matrix algebra elements. Recovered from: https: // www.UV.is/moltoml/material/algemat1.PDF