If adj`B=A ,|P|=|Q|=1, then. adj(Q^(-1)B P^(-1))` is a.`P Q` b. `Q A P` c. `P A Q` d. `P A^-1Q`

If adj B=A ,|P|=|Q|=1,t h e na d j(Q^(-1)B P^(-1)) is P Q b. Q A P c. P A Q d. P A^1Q

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.

In Figure, if quadrilateral P Q R S circumscribes a circle, then P D+Q B= (a) P Q (b) Q R (c) P R (d) P S

If P=[{:(,1,2),(,2,-1):}] and Q=[{:(,1,0),(,2,1):}] then compute : (i) P^2-Q^2 (ii) (P+Q) (P-Q) Is (P+Q) (P-Q) =P^2-Q^2 true for matrix algebra?

In a right triangle A B C right-angled at B , if P a n d Q are points on the sides A Ba n dA C respectively, then (a) A Q^2+C P^2=2(A C^2+P Q^2) (b) 2(A Q^2+C P^2)=A C^2+P Q^2 (c) A Q^2+C P^2=A C^2+P Q^2 (d) A Q+C P=1/2(A C+P Q)dot

If in an A.P., the pth term is q\ a n d\ (p+q)^(t h) term is zero then the q^(t h) term is a. -p b. p c. p+q d. p-q

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that D P = B Q . Show that: (i) DeltaA P D~= DeltaC Q B (ii) A P = C Q (iii) DeltaA Q B~= DeltaC P D (iv) A Q = C P (v) APCQ is a parallelogram.

If P and Q are symmetric matrices and PQ=QP then which of the following is/are true (A) QP^-1=P^-1Q (B) PQ is skew symmetric (C) P^-1Q is symmetric (D) both (a) and (c)

If A=((p,q),(0,1)) , then show that A^(8)=((p^(8),q((p^(8)-1)/(p-1))),(0,1))