[" Find the values of "lambda" for which the following determinant is equal to zero."],[qquad |[3-lambda,-1,1],[-1,5-lambda,-1],[1,-1,3-lambda]|]

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

Find the value of lambda or which the points A(2,5,1) ,B(1,2,-1) and C(3, lambda ,3) are collinear .

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

For a non zero " lambda" ,the value of matrix "[[lambda,1,0],[0,lambda,1],[0,0,lambda]]^(n) " is equal to

The value of lambda for which the matrix [(1,-2,-1),(2,lambda,3),(-1,0,3)] will not be invertible ,

The value of lambda for which the matrix [(1,-2,-1),(2,lambda,3),(-1,0,3)] will not be invertible ,

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3x+y=6 lambda is the point (lambda^(2)+1,lambda) If so find lambda_(.)

Is there a real value of lambda for which the image of the point (lambda,lambda-1) by the line mirror 3 x + y = 6 lambda is the point (lambda^2 + 1, lambda) If so find lambda . ,

If lambda = - 2 , determine the value of |{:(0,2lambda,1),(lambda^(2),0,3lambda^(2)+1),(-1,6lambda-1 ,0):}|