If `Aa n dB` are two matrices such that `A B=Ba n dB A=A ,t h e n` `(A^5-B^5)^3=A-B` b. `(A^5-B^5)^3=A^3-B^3` c. `A-B` is idempotent d. none of these

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=

if Aa n dB are squares matrices such that A^(2006)=Oa n dA B=A+B ,t h e n"det"(B) equals 0 b. 1 c. -1 d. none of these

If Aa n dB are two non-singular matrices such that A B=C ,t h e n|B| is equal to (|C|)/(|A|) b. (|A|)/(|C|) c. |C| d. none of these

If Aa n dB are symmetric matrices of the same order and X=A B+B Aa n dY=A B-B A ,t h e n(X Y)^T is equal to X Y b. Y X c. -Y X d. none of these

If A B=Aa n dB A=B , then a. A^2B=A^2 b. B^2A=B^2 c. A B A=A d. B A B=B

If Aa n dB are two independent events such that P(A)=1//2a n dP(B)=1//5, then a. P(AuuB)=3//5 b. P(A//B)=1//4 c. P(A//AuuB)=5//6 d. P(AnnB// barA uu barB )=0

If Aa n dB are two events such that P(A)>0a n d P(B)!=1, t h e nP( barA / barB ) is equal to (Here barAa n d barB are complements of Aa n dB , respectively. (a) 1-p(A/B) (b). 1-p(( barA )/B) (c). (1-p(AuuB))/(P( barB )) (d). (P( barA ))/(P(B))

If A and B are two square matrices of order 3xx3 which satify AB=A and BA=B , then (A+I)^(5) is equal to (where I is idensity matric)

If Aa n dB are two non-singular matrices of the same order such that B^r=I , for some positive integer r >1,t h e nA^(-1)B^(r-1)A=A^(-1)B^(-1)A= I b. 2I c. O d. -I

Let A and B be two non-singular square matrices such that B ne I and AB^(2)=BA . If A^(3)-B^(-1)A^(3)B^(n) , then value of n is