Answer to Question #127192 in Linear Algebra for Omi

Question

Write the application of Linear Algebra in Computer science and Engineering.

Answer 1

Introduction

Linear algebra is the study of vectors, vector space, linear equations, linear transformation and system of vector matrices. Therefore, vector and matrices are the two main elements that linear algebra is built on. with vectors data can be easily summarize and manipulate efficiently.

a) Application in computer science

vectors and matrices functionality are implemented in computer science to write programs in the programming language Python and this produces a real-world data. This application attains goals like

image transformations such as detecting edges and blurring, two-dimensional graphics transformations integer factorization, error-correcting codes, and secret-sharing.

b) Application with engineering

Ø   using linear equations and their transformation properties, it is possible to consider the analysis of rotations in space, selected curve fitting techniques, differential equation solutions in engineering.

Ø   Design engineers needs the study of vectors in two dimensional as well as three-dimensional space since in their course work vectors, vector spaces, scalar products and vector products are very important.

Ø   In creation of engineering models such as satellite or a jet engine, eigenvectors are extremely applied which is borrowed from linear algebra.

References

Anon

(2020). Retrieved 24 July 2020, from https://archive.siam.org/meetings/la03/procee

Klein, P. N. (2013). Coding the matrix: Linear algebra through computer science applications. Newtonian Press