Q.What is a singular matrix ?

A square matrix whose determinant is zero.

A singular matrix is a square matrix whose determinant equals zero ($|A|=0$). Because its determinant is zero, a singular matrix has no i …

Singular matrix: $|A|=0$, so $A^{-1}$ does not exist.

A singular matrix is a square matrix whose determinant is zero:

$|A|=0.$

Significance: the inverse of a square matrix is $A^{-1}=\dfrac{1}{|A|}\,\text{adj}(A)$. When $|A|=0$ this is undefined (division by zero), so a singular matrix is non-invertible. A square matrix with $|A|\neq 0$ …