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Definition of dimension of a vector space (or subspace)
If a vector space has dimension n
Every basis for a vector space contains the same number of elements
Definition of dimension of a vector space (or subspace) being finite or infinite
The dimension of a subspace is less than or equal to the dimension of the whole space
If two finite dimensional subspaces have the same dimension and one is contained in the other
A set of vectors containing more elements than the dimension of the space must be linearly dependent
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Math
Container for Linear Algebra
Linear algebra
Vector spaces
Coordinate vector spaces
Dimension
If two finite dimensional subspaces have the same dimension and one is contained in the other
Created almost 9 years ago
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