If `|a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+a c a+blambdab c-alambdac^2+lambda^2||lambdac-b-clambdaa b-alambda|=(1+a^2+b^2+c^2)^3` , then he value of `lambda` is `8` b. `27` c. `1` d. `-1`

If |a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+a c a+b lambdab c- alambdac^2+lambda^2||lambdac-b-clambdaa b-alambda |=(1+a^2+b^2+c^2)^3 , then the value of lambda is a) 8 b. 27 c. 1 d. -1

If |(a^2+lambda^2, a b+clambda, ca-blambda), (a b-clambda, b^2+lambda^2, b c+a), (ca+blambda, bc-alambda, c^2+lambda^2)| |(lambda, c, -b), (-c,lambda, a), (b,-a,lambda)|=(1+a^2+b^2+c^2)^3 , then he value of lambda is a. 8 b. 27 c. 1 d. -1

If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+aλ],[ca+blambda,bc-alambda,c^2+lambda^2]| |[λ,c,-b],[-c,λ,a] ,[b,-a,λ]| = (1+a^2+b^2+c^2)^3 , then he value of lambda is 8 b. 27 c. 1 d. -1

If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+aλ],[ca+blambda,bc-alambda,c^2+lambda^2]| |[λ,c,-b],[-c,λ,a] ,[b,-a,λ]| = (1+a^2+b^2+c^2)^3 , then he value of lambda is 8 b. 27 c. 1 d. -1

|[a^(2)+lambda^(2),ab+c lambda,ca-b lambdaab-c lambda,b^(2)+lambda^(2),bc+aca+b lambda,bc-a lambda,c^(2)+lambda^(2) then he value of lambda is 8 b.27, c.1 d.-1=(1+a^(2)+b^(2)+c^(2))^(3)

if [[-a^2,ab,ac],[ab,-b^2,bc],[ac,bc,-c^2]]=lambda a^2b^2c^2 then find the value of lambda

If |[lambda^(2),-lambda,2 lambda-1],[lambda+2,1-lambda,lambda],[lambda+2,lambda+1,-lambda]|=a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e Then values of a, b, c, d and e are.

If [a xx b b xx c c xx a] lambda [a b c]^(2) then lambda is equal to

If a lambda^(4)+b lambda^(3)+c lambda^(2)+d lambda+e=|[lambda^(2)-3,lambda-1,lambda+sqrt(3)],[lambda^(2)+lambda,2 lambda-4,3 lambda+1],[lambda^(2)-3 lambda,3 lambda+5,lambda-3]| then |a| equals