If A and B are square matrices of order 3 then (A) `AB=0rarr|A|=0 or |B|=0` (B) `AB=0rarr|A|=0 and |B|=0` (C) `Adj(AB)=Adj A Adj B` (D) `(A+B)^-1=A^-1+B^-1`

If A and B are any two square matrices of the same order then (A) (AB)^T=A^TB^T (B) (AB)^T=B^TA^T (C) Adj(AB)=adj(A)adj(B) (D) AB=0rarrA=0 or B=0

If A and B are square matrices of same order such that AB=O and B ne O , then prove that |A|=0 .

If A; B are non singular square matrices of same order; then adj(AB) = (adjB)(adjA)

If A dn B be 3xx3 matrices the AB=0 implies (A) A=0 or B=0 (B) A=0 and B=0 (C) |A|=0 or |B|=0 (D) |A|=0 and |B|=0

If A and B are two invertible matrices of the same order, then adj (AB) is equal to

If A and B are square matrices of the same order such that A=-B^(-1)AB then (A+3B)^(2) is equal to

If A and Bare square matrices of same order such that AB = A and BA = B, then AB^(2)+B^(2)= : a) AB b) A+B c) 2AB d) 2BA

6.If A and B are matrices with AB=0 and BA=0 ,then a) A=0 or B=0 b) Either A=0 or B=0 c) A=0 and B=O d) None of these.

If A and B are square matrices of the same order and AB=3I, then A^-1 is equal to (A) 1/3 B (B) 3B^-1 (C) 3B (D) none of these

If A and B are square matrices of the same order such that AB=BA, then (A) (A-B)(A+B)=A^2-B^2 (B) (A+B)^2=A^2+2AB+B^2 (C) (A+B)^3=A^3A^2B+3AB^2+B^3 (D) (AB)^2=A^2B^2