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.

subspace Meaning

Wordnet

subspace (n)

a space that is contained within another space

Synonyms & Antonyms of subspace

No Synonyms and anytonyms found

FAQs About the word subspace

a space that is contained within another space

No synonyms found.

No antonyms found.

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.

The orthogonal complement of a subspace is also a subspace.

The intersection of any two subspaces is a subspace.