For all values of `lambda`, rank of matrix `A=[(1,4,5),(lambda,8,8lambda-6),(1+lambda^2,8lambda+4,2lambda+21)]`

If the rank of the matrix [(lambda,-1,0),(0, lambda,-1),(-1,0,lambda)] is 2, then find lambda .

lambda ^ (3) -6 lambda ^ (2) -15 lambda-8 = 0

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

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

p(lambda)^4+q(lambda)^3+r(lambda)^2+s(lambda)+t = |((lambda^2 + 3lambda) , lambda -1 , lambda+3) , (lambda +1 , -2lambda , lambda-4 ) ,(lambda-3 , lambda+4 , 3lambda)| find t=?

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

If plambda ^(4)+qlambda^(3)+rlambda ^(2)+ s lambda +t= |{:(lambda^(2)+3,lambda -1, lambda +3),(lambda^(2)+1,2-lambda ,lambda-3),(lambda^(2)-3,lambda+4,3lambda):}| then t is equal to : a)33 b)22 c)21 d)57

If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-1, lambda+3] , [lambda^2+1, 2-lambda, lambda-3] , [lambda^2-3, lambda+4, 3lambda]| then t=

If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-1, lambda+3] , [lambda^2+1, 2-lambda, lambda-3] , [lambda^2-3, lambda+4, 3lambda]| then t=