Need another word for Linear Algebra? Use these synonyms of Linear Algebra from our thesaurus to say it differently.
Synonyms & Similar Words
vector calculus
matrix theory
tensor analysis
multilinear algebra
linear transformations
vector spaces
abstract algebra
mathematical analysis
differential equations
calculus
geometry
trigonometry
statistics
probability
mathematical modeling
applied mathematics
pure mathematics
algebraic geometry
differential geometry
topology
measure theory
functional analysis
operator theory
spectral theory
representation theory
group theory
ring theory
field theory
Galois theory
number theory
combinatorics
graph theory
computer science
programming
data analysis
machine learning
artificial intelligence
optimization techniques
linear programming
computational complexity
information theory
coding theory
cryptography
signal processing
control theory
robotics
engineering mathematics
mathematical physics
Meaning of Linear Algebra
The primary meaning of "Linear Algebra" refers to a branch of mathematics that deals with the study of linear equations, vector spaces, linear transformations, and matrices.
Definitions
- A branch of mathematics that deals with the study of linear equations, vector spaces, linear transformations, and matrices, and is used to solve systems of linear equations, find the inverse of a matrix, and determine the eigenvalues and eigenvectors of a matrix.
- * The study of the properties and applications of linear transformations and matrices, including the solution of systems of linear equations, the determination of the rank and nullity of a matrix, and the study of the eigenvalues and eigenvectors of a matrix.
Etymology of Linear Algebra
The term "Linear Algebra" comes from the Latin words "linearis," meaning "of or pertaining to lines," and "algebra," which is derived from the Arabic word "al-jabr," meaning "reunion of broken parts."
The term "Linear Algebra" was first used in the 19th century to describe the study of linear equations and matrices, and has since become a fundamental branch of mathematics with applications in physics, engineering, computer science, and many other fields.
Example Uses
- Linear algebra is used in computer graphics to perform transformations and projections of objects in 3D space.
- * Linear algebra is used in machine learning to train neural networks and make predictions on new data.
- * Linear algebra is used in physics to describe the motion of objects in space and time, and to solve problems in mechanics, electromagnetism, and quantum mechanics.
Antonyms & Near Antonyms
nonlinear algebra
nonvector calculus
nonmatrix theory
nonlinear transformations
nonlinear equations
nonvector spaces
abstract analysis
mathematical modeling
applied analysis
pure analysis
algebraic topology
differential topology
geometric topology
measure theory
functional analysis
operator theory
spectral theory
representation theory
group theory
ring theory
field theory
Galois theory
number theory
combinatorics
graph theory
computer science
programming
data analysis
machine learning
artificial intelligence
optimization techniques
nonlinear programming
computational complexity
information theory
coding theory
cryptography
signal processing
control theory
robotics
engineering analysis
mathematical physics