Vector space/Related Articles

See also changes related to Vector space, or pages that link to Vector space or to this page or whose text contains "Vector space".

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Parent topics

• Linear algebra [r]: Branch of mathematics that deals with the theory of systems of linear equations, matrices, vector spaces, determinants, and linear transformations. ^[e]
• Vector [r]: Please do not use this term in your topic list, because there is no single article for it. Please substitute a more precise term. See vector (disambiguation) for a list of available, more precise, topics. Please add a new usage if needed.
• Scalar [r]: Real or complex number, or an invariant under orthogonal/unitary transformation of reference frame. ^[e]

• Abstract algebra [r]: Branch of mathematics that studies structures such as groups, rings, and fields. ^[e]
• Module (mathematics) [r]: Add brief definition or description

Subtopics

• Linear combination [r]: Expression of first order, composed of the sums and differences of elements with coefficients in a field, such as the field of real numbers. ^[e]
• Linearly independent [r]: Add brief definition or description
• Span (mathematics) [r]: The set of all finite linear combinations of a module over a ring or a vector space over a field. ^[e]
• Basis (mathematics) [r]: Add brief definition or description
• Dimension (vector space) [r]: The number of elements in any basis for a vector space. ^[e]

• Linear transformation [r]: Add brief definition or description
• Matrix representation [r]: Add brief definition or description
• Linear representation [r]: Add brief definition or description

• Normed linear space [r]: Add brief definition or description
• Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm. ^[e]

Other related topics

• Matrix (mathematics) [r]: Add brief definition or description