linear algebra
noun
: a branch of mathematics that is concerned with mathematical structures closed under the operations of addition and scalar multiplication and that includes the theory of systems of linear equations, matrices, determinants, vector spaces, and linear transformations
Examples of linear algebra in a Sentence
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Common algorithmic functions like Monte-Carlo sampling, which are widely used in AI as well as general computing, can be vastly accelerated with quantum computers, as can the linear algebra powering deep learning routines.
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Bernard Marr, Forbes.com, 23 July 2025
The problem with LLMs and chess is that an LLM works by using its training from vast databases and linear algebra to predict the next token in its response, not as the application of complex game rules.
—David Szondy
june 15, New Atlas, 15 June 2025
In theory, quantum algorithms could enable exponential speedup for certain linear algebra problems that underpin AI, from kernel methods to optimization.
—Paul Lipman, Forbes.com, 29 May 2025
A lot of the architecture for these artificial intelligence systems are based around training these linear algebra algorithms, which are then run on GPUs; these, like, graphics processing units.
—Steven Strogatz, Quanta Magazine, 3 Apr. 2025
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Bernard Marr, Forbes.com, 23 July 2025
The problem with LLMs and chess is that an LLM works by using its training from vast databases and linear algebra to predict the next token in its response, not as the application of complex game rules.
—David Szondy
june 15, New Atlas, 15 June 2025
In theory, quantum algorithms could enable exponential speedup for certain linear algebra problems that underpin AI, from kernel methods to optimization.
—Paul Lipman, Forbes.com, 29 May 2025
A lot of the architecture for these artificial intelligence systems are based around training these linear algebra algorithms, which are then run on GPUs; these, like, graphics processing units.
—Steven Strogatz, Quanta Magazine, 3 Apr. 2025
See All Example Sentences for linear algebra
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“Linear algebra.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/linear%20algebra. Accessed 30 Jul. 2025.
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