[[A=,([x+lambda,x,x],[x,x+lambda,x],[x,x,x+lambda])," exists if "],[x!=0,,]],[[lambda!=0],[3x+lambda!=0" and "lambda!=0]],[qquad x!=0,lambda!=0]

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)

If |(x+lambda,x,x),(x,x+lambda,x),(x,x,x+lambda)| = 0, (lambda != 0) then a) x = - lambda//3 b) x = 3 lambda c)x = 0 d)None of these

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if (a) lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if (a) lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

Evaluate the following : |{:(x+lambda,x,x),(x,x+lambda,x),(x,x,x+lambda):}|