24 lines
1.2 KiB
Markdown
24 lines
1.2 KiB
Markdown
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---
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title: Vector Spaces
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---
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## Vector Spaces
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A vector space V is a set of vectors that is closed under vector multiplication and addition.
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This means that vectors produced from vector addition and multiplication are also within the vector space:
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1. If a and b are vectors in the space V, then a + b is also in V.
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2. If c is a scalar and a and b are vectors in V, then ab and ac are also vectors inside V.
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When these properties hold true, the vector space is said to be "closed" under vector addition and scalar multiplication.
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#### More Information:
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1. http://mathworld.wolfram.com/VectorSpace.html
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2. http://www.math.toronto.edu/gscott/WhatVS.pdf
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<!-- Please add any articles you think might be helpful to read before writing the article -->
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