If `A` is a non-zero Matrix `A=[[a,b],[c,d]]_(2X2)` then `(A^(-1))=`

If A is a non-singular matrix such that AA^(T)=A^(T)A and B=A^(-1)A^(T), the matrix B is a.involuntary b.orthogonal c.idempotent d. none of these

If A is an orthogonal matrix then A^(-1) equals A^(T) b.A c.A^(2) d.none of these

If B is a non-singular matrix and A is a square matrix,then det (B^(-1)AB) is equal to (A)det(A^(-1))(B)det(B^(-1))(C)det(A)(D)det(B)

Give an example of a 2xx2 (non-zero) matrix A,B,C such that

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=[3 5] , B=[7 3] , then find a non-zero matrix C such that A C=B C .

Let A be a 3x3 matrix such that |A|=-2, then det(-2A^(-1))=-4 (b) 4(c)8(d) none of these

If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=BC.