orthogonal complement of a vector space

Now, a sub space is a subset of a vector space that is itself a vector space.

You are given a vector space and a subset defined in various ways; up to you to determine whether the subset is a subspace.

Dimension and codimension of a subspace of a vector space

A hyperplane is an n-1 dimensional subspace of an n dimensional vector space.

A linear vector sub-space (popt) comprising all of the optimal filter coefficients (heq,opt) for different interfering signals (w(n) is established from said vector space using a vector space optimisation method.

In a vector space of finite dimension n, a vector hyperplane is thus a subspace of dimension n - 1.

In a vector space of finite dimension n, a vector hyperplane is thus a subspace of dimension n – 1.

is a vectorial subspace of E ∗ {\displaystyle E^{*}}

A linear system of subvarieties is given by a family of equations

Bases contains 9 exercises on bases of a subspace of a vector space: different subspaces of various vector spaces are defined by various means, and you will be asked to find a basis for the subspace presented.

In a vector space of finite dimension n, a vector hyperplane is thus a subspace of dimension n – 1.

In a vector space of finite dimension n, a vector hyperplane is thus a subspace of dimension n - 1.

In a vector space of finite dimension n, a vector hyperplane is thus a subspace of dimension n – 1.

See also the collections of exercises on vector spaces in general or definition of subspaces.