|[x+lambda,x,x],[x,x+lambda,x],[x,x,x+lambda]|

Let A=[[x+lambda,x,x] , [x,x+lambda,x] ,[x,x,x+lambda]] then A^(-1) exists if (A) x!=0 (B) lambda!=0 (C) 3x+1!=0 , lambda!=0 (D) x!=0 , lambda!=0

Let A=[(x+lambda,x,x), (x,x+lambda,x), (x,x,x+lambda)]. Then A^(-1) exists if (A) xne0 (B) lambdane0 (C) 3x+lambdane0, lambdane0 (D) xne0,lambdane0

Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}] then prove that A^(-1) exists if 3x+lambda ne0, lambda=ne0

Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}] then prove that A^(-1) exists if 3x+lambda ne0, lambda=ne0

|[x+lambda, 2x, 2x], [2x, x+lambda, 2x], [2x, 2x, x+lambda]| =(5x+ lambda)(lambda-x)^(2)

The roots of det[[x,a,b,1lambda,x,b,1lambda,mu,x,1lambda,mu,v,1]]=0 are

If f(x)=|(x,lambda),(2lambda,x)| , then f(lambdax)-f(x) is equal to

Given below. Is the distribution of a random variable X {:(X =x,1,2,3,4),("p(X=x)",lambda,2 lambda,3 lambda,4 lambda):} If alpha = P (X lt 3) and beta = P (X gt 2) , "then" alpha : beta=

The period of the function f(x) = lambda| sin x| + lambda^(2) | cos x| + g (lambda) is (lambdai)/(2) , if lambda is

" Consider "P(x)=x^(2)-2 lambda x+2 lambda^(2)-4 lambda,lambda in R" then minimum value of "P(x)" is "