If `sin2A=lambdasin2B ,` then write the value of `(lambda+1)/(lambda-1)` .

If A=[[1, 1], [1, 1]] satisfies A^4=lambdaA , then write the value of lambda

if mu_21 is 1.5, then find the value of lambda_1/lambda_2.

If sin2A= lambda sin 2B prove that (tan(A+B)/tan(A-B))=(lambda+1)/(lambda-1)

If sin2A= lambda sin 2B prove that (tan(A+B)/tan(A-B))=(lambda+1)/(lambda-1)

If alpha+beta-gamma=pi and sin^2alpha+sin^2beta-sin^2gamma=lambda sinalpha sinbeta cosgamma, then write the value of lambda

If (1)/(cos 290^(@))+(1)/(sqrt(3)sin 250^(@))=lambda , then the value of 9 lambda^(4)+81 lambda^(2)+97 must be

If cos e c^2theta(1+costheta)(1-costheta)=lambda , then find the value of lambda .

If a,b, c, lambda in N , then the least possible value of |(a^(2)+lambda, ab,ac),(ba,b^(2)+lambda,bc),(ca, cb, c^(2)+lambda)| is

If the matrix A = [[lambda_(1)^(2), lambda_(1)lambda_(2), lambda_(1) lambda_(3)],[lambda_(2)lambda_(1),lambda_(2)^(2),lambda_(2)lambda_(3)],[lambda_(3)lambda_(1),lambda_(3)lambda_(2),lambda_(3)^(2)]] is idempotent, the value of lambda_(1)^(2) + lambda_(2)^(2) + lambda _(3)^(2) is

Let A=[(1, 1),(3,3)] and B=A+A^(2)+A^(3)+A^(4) . If B=lambdaA, AA lambda in R , then the value of lambda is equal to