singular matrix Antonyms
No Synonyms and anytonyms found
Meaning of singular matrix
Wordnet
singular matrix (n)
a square matrix whose determinant is zero
singular matrix Sentence Examples
- 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.
- A matrix is singular if and only if its row space or column space is not the entire vector space.
- The matrix equation Ax = 0 has a nonzero solution if and only if A is singular.
- The eigenvalues of a singular matrix are all zero.
- The characteristic polynomial of a singular matrix has a zero as a root.
- The reduced row echelon form of a singular matrix has a row of zeros.
- The determinant of a singular matrix cannot be computed using the cofactor expansion method.
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.
