If `P` is non-singular matrix, then value of `adj(P^(-1))` in terms of `P` is (A) `P/|P|` (B) `P|P|` (C) `P` (D) none of these

If P is a non-singular matrix, with (P^(-1)) in terms of 'P', then show that adj (Q^(-1) BP^-1) = PAQ . Given that (B) = A and abs(P) = abs(Q) = 1.

If P is a two-rowed matrix satisfying P' = P^(-1) , then P can be

If the square of differences of three numbers be in A.P., then their differences re in (A) A.P. (B) G.P. (C) H.P. (D) none of these

Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then find p^-1 .

Let an A.P. a G.P. and a H.P. of positive terms have the same first term a, the same last term b and the same numberof terms (2n+1). Let x,y,z be the (n+1)th terms respectively of the A.P., G.P. and H.P. respectively. On the basis of above information anwer the following question: x,y,z are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If the numbers p,q,r are in A.P. then m^(7p), m^(7q), m^(7r)(mgt0) are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) P(A uu B) le P(A)+ P(B) (c) P(AnnB)=P(A)+ P(B) (d)None of these

If . ^(28)C_2p=^24C_(2p-4) then (A) p=4 (B) p=7 (C) p=14 (D) none of these

If A and B are two events, then P(A) + P(B) = 2P(AnnB) if and only if A. P(A)+P(B)=1 B. P(A)=P(B) C. P(A)=P(B) D. None of these

If A and B are mutually exclusive events then a. P(A)lt=P( B' ) b. P(A)geqP( B ) c. P(A)