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 B is a non -singular square matrix of order 3 such that |B|=1 then "det (B^-1) "is equal to (a) 1 (b) 0 (c)-1 (d) none of these"

A and B are square matrices such that det. (A)=1, B B^(T)=I , det (B) gt 0 , and A( adj. A + adj. B)=B. AB^(-1)=

If A,B and C be the three square matrices such that A=B+C then det A is necessarily equal to (A) detB (B) det C (C) det B+detC (D) none of these

A and B are square matrices such that det. (A)=1, B B^(T)=I , det (B) gt 0 , and A( adj. A + adj. B)=B . The value of det (A+B) is

If A and B are square matrices of order 3 such that "AA"^(T)=3B and 2AB^(-1)=3A^(-1)B , then the value of (|B|^(2))/(16) is equal to

If A and B are two events such that P(A)=0. 4 ,\ P(B)=03\ a n d\ P(AuuB)=0. 5 ,\ t h e n\ P( B nnA) equals 23\ b. 1/2 c. 3/(10) d. 1/5

If A and B are two square matrices such that B=-A^(-1)BA, then (A+B)^(2) is equal to A^(2)+B^(2) b.O c.A^(2)+2AB+B^(2) d.A+B

Let A and B are two square matrices of order 3 such that det. (A)=3 and det. (B)=2 , then the value of det. (("adj. "(B^(-1) A^(-1)))^(-1)) is equal to _______ .

If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300. Find n(A-B) a n d n(B-A)dot

If A and B are square matrices of order 3 such that det.(A)=-2 and det.(B)=1, then det.(A^(-1)adjB^(-1). adj (2A^(-1)) is equal to