Home
Class 12
MATHS
[" (b) Let "k" be a positive real number...

[" (b) Let "k" be a positive real number and let "],[qquad A=[[2k-1,2sqrt(k),2sqrt(k)],[2sqrt(k),1,-2k],[-2sqrt(k),2k,-1]]" and "B=[[0,2k-1,sqrt(k)],[1-2k,0,2sqrt(k)],[-sqrt(k),-2sqrt(k),0]]],[" [Note: adj M denotes the adjoint of a square matrix "M" and "[k]" denotes the largest intege "],[" less than or equal to "k]" ."]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-2k-2sqrt(k)2k-1]a n dB=[0 2k-1sqrt(k)1-2k0 2-sqrt(k)-2sqrt(k)0] . If det (a d jA)+det(a d jB)=10^6,t h e n[k] is equal to. [Note: a d jM denotes the adjoint of a square matix M and [k] denotes the largest integer less than or equal to K ].

Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-2k-2sqrt(k)2k-1]a n dB=[0 2k-1sqrt(k)1-2k0 2-sqrt(k)-2sqrt(k)0] . If det (a d jA)+det(a d jB)=10^6,t h e n[k] is equal to. [Note: a d jM denotes the adjoint of a square matix M and [k] denotes the largest integer less than or equal to K ].

Let K be a positive real number and A=[2k-1 2sqrt(k)2sqrt(k)2sqrt(k)1-2k-2sqrt(k)2k-1]a n dB=[0 2k-1sqrt(k)1-2k0 2-sqrt(k)-2sqrt(k)0] . If det (a d jA)+det(a d jB)=10^6,t h e n[k] is equal to. [Note: a d jM denotes the adjoint of a square matix M and [k] denotes the largest integer less than or equal to K ].

Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt(k),1,-2k),(-2sqrt(k),2k,-1)] and B=[(0,2k-1,sqrt(k)),(1-2k,0,2),(-sqrt(k),-2sqrt(k),0)] . If det (adj A) + det (adj B) =10^(6) , then [k] is equal to ______ . [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k .]

Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt(k),1,-2k),(-2sqrt(k),2k,-1)] and B=[(0,2k-1,sqrt(k)),(1-2k,0,2),(-sqrt(k),-2sqrt(k),0)] . If det (adj A) + det (adj B) =10^(6) , then [k] is equal to ______ . [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k .]

Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt(k),1,-2k),(-2sqrt(k),2k,-1)] and B=[(0,2k-1,sqrt(k)),(1-2k,0,2sqrt(k)),(-sqrt(k),-2sqrt(k),0)] . If det (adj A) + det (adj B) =10^(6) , then [k] is equal to ______ . [Note : adj M denotes the adjoint of a square matrix M and [k] denotes the largest integer less than or equal to k .]

log_sqrt(k) (sqrt(k sqrt(k sqrt(k sqrt(k)))))

Let k be a positive real number and let |A|=(2 k+1)^3 and B=[[0,2k,-sqrt k ],[-2k,0,2sqrt k],[sqrt k, -2sqrt k,0]] . If |adj A|+|adj B|=10^6 then [k]= ([k]= the greatest integer less than or equal to k)

If (6)/(2sqrt(3)-sqrt(5))=(12sqrt(3)+6sqrt(5))/(k), then k=