A square matrix is called singular if its
Right Answer is:
Determinant is zero
- A square matrix that is not invertible is called singular or degenerate.
- A square matrix is singular if and only if its determinant is 0.
- Singular matrices are rare in the sense that a square matrix randomly selected from a continuous uniform distribution on its entries will almost never be singular.
- In linear algebra, an n-by-n square matrix A is called invertible (also nonsingular or nondegenerate) if there exists an n-by-n square matrix B such that
AB = BA = In
If we assume that,
A and B are two matrices of the order, n x n satisfying the following condition:
AB = I = BA
Where I denote the identity matrix whose order is n.
Then, matrix B is called the inverse of matrix A.
Therefore, A is known as a non-singular matrix.