singular matrix Sentence Examples

  1. The determinant of a singular matrix is always zero.
  2. A linear system with a singular coefficient matrix has infinitely many solutions or no solutions.
  3. The inverse of a singular matrix does not exist.
  4. The rank of a singular matrix is less than the number of rows or columns.
  5. A matrix is singular if and only if its row space or column space is not the entire vector space.
  6. The matrix equation Ax = 0 has a nonzero solution if and only if A is singular.
  7. The eigenvalues of a singular matrix are all zero.
  8. The characteristic polynomial of a singular matrix has a zero as a root.
  9. The reduced row echelon form of a singular matrix has a row of zeros.
  10. The determinant of a singular matrix cannot be computed using the cofactor expansion method.

singular matrix Meaning

Wordnet

singular matrix (n)

a square matrix whose determinant is zero

Synonyms & Antonyms of singular matrix

No Synonyms and anytonyms found

FAQs About the word singular matrix

a square matrix whose determinant is zero

No synonyms found.

No antonyms found.

The determinant of a singular matrix is always zero.

A linear system with a singular coefficient matrix has infinitely many solutions or no solutions.

The inverse of a singular matrix does not exist.

The rank of a singular matrix is less than the number of rows or columns.