nonsingular matrix Antonyms
No Synonyms and anytonyms found
Meaning of nonsingular matrix
Wordnet
nonsingular matrix (n)
a square matrix whose determinant is not zero
nonsingular matrix Sentence Examples
- The matrix is nonsingular if its determinant is nonzero.
- Nonsingular matrices are invertible, meaning they can be cancelled out by their inverses.
- The product of two nonsingular matrices is always nonsingular.
- The rank of a nonsingular matrix is equal to the number of its rows or columns.
- Nonsingular matrices are often used in solving systems of linear equations.
- The eigenvalues of a nonsingular matrix are all nonzero.
- The eigenvectors of a nonsingular matrix are all linearly independent.
- The null space of a nonsingular matrix is trivial, meaning it only contains the zero vector.
- The column space of a nonsingular matrix is equal to the entire space.
- Nonsingular matrices play a fundamental role in linear algebra and have numerous applications in mathematics and science.
FAQs About the word nonsingular matrix
a square matrix whose determinant is not zero
No synonyms found.
No antonyms found.
The matrix is nonsingular if its determinant is nonzero.
Nonsingular matrices are invertible, meaning they can be cancelled out by their inverses.
The product of two nonsingular matrices is always nonsingular.
The rank of a nonsingular matrix is equal to the number of its rows or columns.
