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WordNet-Online
Definitions from WordNet | ||||
Definitions from the WebLinear AlgebraDefinition:Linear algebra is a branch of mathematics that deals with the study of vectors, vector spaces, and linear transformations. It focuses on solving systems of linear equations and analyzing these equations using matrices and determinants. Senses:Sense 1:Popular: Linear algebra is widely used in various scientific and engineering fields, such as computer graphics, machine learning, physics, and economics. Example sentence: The principles of linear algebra are fundamental in understanding how algorithms in machine learning work. Sense 2:Local: In some universities, linear algebra is taught as a foundational course in mathematics, covering topics like vector spaces, linear independence, and eigenvalues. Example sentence: I took a challenging linear algebra course that deepened my understanding of abstract mathematical concepts. Usages:Usage 1:Popular: Linear algebra is essential for solving systems of linear equations, finding eigenvalues and eigenvectors, and performing operations on matrices. Example sentence: By using linear algebra techniques, we can efficiently solve complex systems of equations. Usage 2:Local: In advanced applications, linear algebra is employed in fields like quantum mechanics, cryptography, and data analysis for modeling and analyzing complex systems. Example sentence: The use of linear algebra in quantum mechanics enables the precise calculation of particle wave functions. Related Products: | ||||
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