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.

A and B be 3xx3 matrices such that AB+A+B=0 , then

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 matrices such that A B=A and B A=B , then B^2 is equal to (a) B (b) A (c) 1 (d) 0

If A and B are square matrices of order 2, then det(A+B)=0 is possible only when (a) det(A)=0 or det(B)=0 (b) det(A)+det(B)=0 (c) det(A)=0 and det(B)=0 (d) A+B=O

If r/(r_1)=(r_2)/(r_3), then (a) A=90^0 (b) B=90^0 (c) C=90^0 (d) none of these

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 B ,\ B C\ a n d\ C D are equal chords of a circle with O as centre and A D diameter, then /_A O B= (a) 60^0 (b) 90^0 (c) 120^0 (d) none of these

if A and B are squares matrices such that A^(2006)=O and A B=A+B , then ,"det"(B) equals a. 0 b. 1 c. -1 d. none of these

Let A and B be two 2xx2 matrices. Consider the statements (i) A B=0 => A=0 or B=0 (ii) AB=I_2 => A=B^(-1) (a) only (i) (b) only (ii) (c) both are correct (d) none of these.

0. 012-:1. 5=? (a) 0.8 (b) 0.08 (c) 0.008 (d) none of these