5 Questions
What is numerical linear algebra?
Numerical linear algebra is the study of how matrix operations can be used to create computer algorithms which efficiently and accurately provide approximate answers to questions in continuous mathematics.
What is the role of floating-point arithmetic in numerical linear algebra?
Computers use floating-point arithmetic and cannot exactly represent irrational data, so when a computer algorithm is applied to a matrix of data, it can sometimes increase the difference between a number stored in the computer and the true number that it is an approximation of.
What does numerical linear algebra aim to achieve?
Numerical linear algebra aims to solve problems of continuous mathematics using finite precision computers, and its applications to the natural and social sciences are vast.
In what fields is numerical linear algebra often a fundamental part?
Numerical linear algebra is often a fundamental part of engineering and computational science problems, such as image and signal processing, telecommunication, computational finance, materials science simulations, structural biology, data mining, bioinformatics, and fluid dynamics.
How are matrix methods used in numerical linear algebra?
Matrix methods are particularly used in finite difference methods, finite element methods, and the modeling of differential equations.
Test your knowledge of how matrix operations are used to create efficient computer algorithms for approximating answers to continuous mathematics questions. This quiz covers topics related to numerical linear algebra, numerical analysis, and floating-point arithmetic.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
