Linear-algebra meaning

The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations.
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(linear algebra) An algebra over a field.
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A mathematical ring and vector space with scalars from an associated field, the multiplication of which is of the form (a A ) (b B ) = (ab) ( AB ), where a and b are scalars and A and B are vectors.
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The algebra of vectors and matrices, as distinct from the ordinary algebra of real numbers and the abstract algebra of unspecified entities.
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The branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, and linear transformations.
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(mathematics) The branch of mathematics that deals with vectors, vector spaces, linear transformations and systems of linear equations.
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Linear-algebra Sentence Examples

  • An n-tuple linear algebra (also called a complex number system) deals with quantities of the type A=/aiei derived from n special units e l, e 2 ...

  • Quaternions afford an example of a quadruple algebra of this kind; ordinary algebra is a special case of a duplex linear algebra.

  • It should be observed that while the use of special units, or extraordinaries, in a linear algebra is convenient, especially in applications, it is not indispensable.

  • One of the most important questions in investigating a linear algebra is to decide the necessary relations between a and b in order that this product may be zero.

  • Outline content: The module starts with review of linear algebra.

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Words near linear-algebra in the Dictionary