subspace Synonyms

No Synonyms and anytonyms found

subspace Meaning

Wordnet

subspace (n)

a space that is contained within another space

subspace Sentence Examples

1. The subspace spanned by the vectors (1, 0) and (0, 1) is the x-y plane.
2. The subspace of all vectors parallel to the z-axis is one-dimensional.
3. The orthogonal complement of a subspace is also a subspace.
4. The intersection of any two subspaces is a subspace.
5. The union of any two subspaces is not necessarily a subspace.
6. A subspace is said to be closed if it contains all its limit points.
7. Every subspace of a finite-dimensional vector space is finite-dimensional.
8. The subspace of all vectors with zero entries in the last row is a subspace of the vector space of all matrices.
9. The subspace spanned by the rows of a matrix is called the row space of the matrix.
10. The subspace spanned by the columns of a matrix is called the column space of the matrix.

FAQs About the word subspace

What is the meaning of the word subspace

a space that is contained within another space

What are the synonyms of the word subspace

No synonyms found.

What are the antonyms of the word subspace

No antonyms found.

What is the usage of word subspace

The subspace spanned by the vectors (1, 0) and (0, 1) is the x-y plane.

The subspace of all vectors parallel to the z-axis is one-dimensional.

How to use the word subspace in a sentence?

The orthogonal complement of a subspace is also a subspace.

The intersection of any two subspaces is a subspace.