Let `A=[(a,b),(c,d)]`be a `2 xx 2` matrix, where `a, b, c, d` take value 0 to 1 only. The number of such matrices which have inverses is

Let A be a 2 xx 2 matrix of the form A = [[a,b],[1,1]] , where a, b are integers and -50 le b le 50 . The number of such matrices A such that A^(-1) , the inverse of A, exists and A^(-1) contains only integer entries is

Let A=[(a, b),(c, a)]AA a, b, c, in {0, 1, 2} . If A is a singular matrix, then the number of possible matrices A are

Let A=[(a, b),(c, a)]AA a, b, c, in {0, 1, 2} . If A is a singular matrix, then the number of possible matrices A are

Let [{:(,a,o,b),(,1,e,1),(,c,o,d):}]=[{:(,0),(,0),(,0):}] where a,b,c,d,e in (0,1) then number of such matrix A which system of equationa AX=0 have unique solution.

Let A=[[a,b],[c,d]] be a 2xx2 real matrix. If A-alphaI is invertible for every real number alpha , then

Let A be the set of all 2 xx 2 matrices whose determinant values is 1 and B be the set of all 2 xx 2 matrices whose determinant value is -1 and each entry of matrix is either 0 or 1, then

Let A be the set of all 2 xx 2 matrices whose determinant values is 1 and B be the set of all 2 xx 2 matrices whose determinant value is -1 and each entry of matrix is either 0 or 1, then

The inverse of a matrix A=[[a, b], [c, d]] is