Uses Of Matrices In Different Fields

Let s start with computer graphics then touch on science and return to mathematics.

Uses of matrices in different fields.

Until the 19th century linear algebra was introduced through systems of linear equations and matrices in modern mathematics the presentation through vector spaces is generally preferred since it is more synthetic more general not limited to the finite dimensional case and conceptually simpler although more abstract. Abstract algebra uses matrices with entries in more general fields or even rings while linear algebra codifies properties of matrices in the notion of linear maps. It is possible to consider matrices with infinitely many columns and rows. You can use a matrix to make the information to be readable to only the recipient.

A vector space over a field f often the field of the real numbers. They are used for plotting graphs statistics and also to do scientific studies and research in almost different fields. There are different types of matrices but the most commonly used are discussed below. Suppose you have a confidential data which has to be sent to someone.

In geology matrices are used for making seismic surveys. Almost every branch of physics including classical mechanics optics electromagnetism quantum mechanics and quantum electrodynamics matrices are used to study physical phenomena such as the motion of rigid bodies. Matrices are also used in representing the real world data s like the population of people infant mortality rate etc. In geology matrices are used for making seismic surveys.

Matrices are distinguished on the basis of their order elements and certain other conditions. We see the results o. Applications of matrix mathematics matrix mathematics applies to several branches of science as well as different mathematical disciplines. Cryptography is a practice of hiding information for security purposes.

In computer graphics they are used to project a 3 dimensional image onto a 2 dimensional screen. In computer based applications matrices play a vital role in the projection of three dimensionalimage into a two dimensional screen creating the realistic seeming motions stochastic matrices and eigen vector solvers are used in the page rank algorithms which are used inthe ranking of web pages in google search the matrix calculus is used in. They are used for plotting graphs statistics and also to do scientific studies and research in almost different fields. Matrices can be generalized in different ways.

Most scientific fields have applications of matrices in some or the other form.