A `2 xx 2` square matrix is written down at random using the number 1, -1 as elements. The probability that the matrix is non-singular is

A square matrix is invertible iff it is non singular

A matrix is chosen at random from the set of all 2 xx 2 matrices with elements 0 and 1 only. The probability that determinant is positive, is

A matrix is chosen at random from the set of all 2 xx 2 matrices with elements 0 and 1 only. The probability that positive, is

A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

A matrix is chosen at random from a set of all matrices of order 2 , with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non-zero will be :

If A is a non - zero matrix of order 3times3 ,If A is singular and at least one of the 2times2 sub matrix is non-singular then the rank of A is a)1 b)2 c)3 d)0

If A,B are square matrices of order 3,A is non-singular and AB=O, then B is a a (a) null matrix (b) singular matrix (c) unit matrix (d) non-singular matrix