1.

Match List I with the List II and select the correct answer using the code given below the lists : List I List II(A)Mr is defined as Mr=⎡⎢⎢⎢⎣(r−1)1r11(r−1)2⎤⎥⎥⎥⎦. Then limn→∞(detM2+detM3+⋯+detMn)lnn equals (P)16(B) If ∣∣∣∣∣1cosαcosβcosα1cosγcosβcosγ1∣∣∣∣∣=∣∣∣∣∣0cosαcosβcosα0cosγcosβcosγ0∣∣∣∣∣, then sin2α+sin2β+sin2γ equals (Q)4(C) If A=[31−11] and a matrix C is defined as C=(BAB−1)(B−1ATB), where |B|≠0,(R)2 then detC is a square of natural number equal to (D) If A=[11−11] and A4=−λI, then λ equals (S)1Which of the following is a CORRECT combination?

Answer»

Match List I with the List II and select the correct answer using the code given below the lists :



List I List II(A)Mr is defined as Mr=⎡⎢
⎢
⎢
⎣
(r−1)1r11(r−1)2⎤⎥
⎥
⎥
⎦
. Then limn→∞(detM2+detM3+⋯+detMn)lnn equals
(P)16
(B) If ∣∣
∣
∣
∣
1cosαcosβcosα1cosγcosβcosγ1∣∣
∣
∣
∣
=∣∣
∣
∣
∣
0cosαcosβcosα0cosγcosβcosγ0∣∣
∣
∣
∣
, then sin2α+sin2β+sin2γ equals
(Q)4
(C) If A=[31−11] and a matrix C is defined as C=(BAB−1)(B−1ATB), where |B|≠0,(R)2 then detC is a square of natural number equal to (D) If A=[11−11] and A4=−λI, then λ equals (S)1




Which of the following is a CORRECT combination?



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