Hi Student,

A non-singular matrix is a square one whose determinant is not zero. Mathematically, An n x n(square) matrix A is called non-singular if there exists an n x n matrix B such that AB = BA = In where In is an indentity matrix of order n.

Yes! A non-singular matri is also invertible matrix and ao the inverse exists only for non-singular matrix.

All the best.

Hello,

Yes inverse exists iff determinant of the matrix is not equal to 0(i.e matrix should be non-singular).

Other conditions include that matrix should be square(i.e equal numbers of rows and columns).