The value(s) of `lambda` which satisfies the equation `|[1,1,-3],[1+lambda,2+lambda,-8],[1,-1-lambda,2+lambda]|` =0 is/are

The value(s) of lambda which satisfies the equation det[[1+lambda,2+lambda,-81,-1-lambda,2+lambda]]=0 is/are

The values of lambda for which the system of equations x + y - 3 = 0 (1+lambda)x+(2+lambda)y-8=0 x-(1 +lambda) y + (2 + lambda) = 0 is consistent are a) -5//3,1 b) 2//3,-3 c) -1//3,-3 d)0,1

The sum of possible value of lambda for which the system of equations (lambda+1)x+8y=4 lambda and lambda x+(lambda+3)y=3 lambda-1 is inconsistent is

Find the values of lambda for which 3-lambda,-1,1-1,5-lambda,-11,-1,3-lambda]|=0

The values of lambda for which the function f(x)=lambda x^(3)-2 lambda x^(2)+(lambda+1)x+3 lambda is increasing through out number line (a) lambda in(-3,3)( b) lambda in(-3,0)( c )lambda in(0,3) (d) lambda in(1,3)

The value of lambda for which the matrix product [(2,0,7),(0,1,0),(1,-2,1)][(-lambda,14lambda,7lambda),(0,1,0),(lambda,-4lambda,-2lambda)] is a identity matrix is

The sum of distinct value of lambda for which the system of equations (lambda -1 )x + (3lambda + 1) y + 2 lambda x= 0 (lambda -1) x + (4lambda - 2) y + (lambda + 3) x= 0 2x + (2lambda + 1) y + 3(lambda - 1) z=0 has non - zeor solutions is ______.

Number of real values of lambda for which the matrix A=[[2,-1,32,-1,3lambda+3,lambda-2,lambda+7]] has no inverse (A) 0(B)1(C)2(D) infinite ]]

The values of lambda for which the function f(x)=lambdax^3-2lambdax^2+(lambda+1)x+3lambda is increasing through out number line (a) lambda in (-3,3) (b) lambda in (-3,0) (c) lambda in (0,3) (d) lambda in (1,3)