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linear algebra

linear algebra

1 5.8
A branch of math that studies equations and matrices to solve problems
  • noun
  • /ˈlɪniər ˈælɡəbrə/
  • Specialized
translation icon : álgebra lineal
  • Prerequisites include knowledge of Python, probability, and linear algebra.
  • dense linear algebra

So this is an example where simple math, you know, linear algebra leads to deep physics.

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Examples

  • This afternoon, Professor Haefner's linear algebra class will be meeting in the computer laboratory area.

    Academic text (1994)
  • To understand systems of equations better, students often need to grasp the concepts of linear algebra.

  • Today I worked on linear algebra.

    Fiction book (1998)
  • Gene, one of these students, is having a great deal of trouble with the material in linear algebra.

    Academic text (1994)
  • For some colleges, this could even result in the addition of new topics, such as discrete mathematics, mathematical modeling, and linear algebra.

    Academic text (1995)
  • In my university course, we cover topics such as matrices, vectors, and linear algebra techniques.

  • Many engineering problems can be solved using the principles of linear algebra and matrix theory.

Synonyms

algebra
vslinear algebra
  • Specialized
77 4.0

A part of math that uses letters to stand for numbers and rules for doing calculations

is narrower, focusing on solving systems and transformations with arrays and spaces
matrix algebra
vslinear algebra
  • Specialized
6.1

The part of math that studies numbers in rows and columns and how to use them

focuses more broadly on solving systems and on transformations and related theory
vector algebra
vslinear algebra
  • Specialized
7.0

A part of math about arrows that show length and direction

focuses on solving systems and transformations using those spaces as objects

How Advanced

Galois theory
  • Specialized
9.9
group theory
  • Specialized
1 7.4
linear algebra
  • Specialized
1 5.8
arithmetic
  • Specialized
5 3.2
prealgebra
  • US
3.7

Surface Forms

Morphology

linear + algebra

The meaning is compositional: 'algebra' (a branch of mathematics) modified by 'linear' (relating to straight-line/first-degree relations), so a learner who knows both words can infer it refers to the algebra of linear equations and transformations. This adjective+noun construction is regular and cross-linguistically common, making the phrase immediately comprehensible to a B1 learner familiar with the constituent words.

Etymology

Linear algebra comes from the words linear (meaning 'line') and algebra (meaning 'solving equations'). It studies straight-line relationships and lists of numbers and the rules to solve them, so the name helps explain why the subject is about 'linear' equations and methods.