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

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

A=[[2-lambda,-1,0-1,2-lambda,-10,-1,2-lambda]] then find out

Find all values of lambda for which the (lambda-1)x+(3 lambda+1)y+2 lambda z=0(lambda-1)x+(4 lambda-2)y+(lambda+3)z=02x+(3 lambda+1)y+3(lambda-1)z possess non-trivial solution and find the ratios x:y:z, where lambda has the smallest of these value.

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 ______.

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

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 ]]

Find value of lambda if two lines having direction ratios 1, -2, 3 and 2- lambda , 1+ lambda, - lambda, are perpendicular to each other

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

Using vectors find the value of lambda such that the points (lambda,-10,3),(1,-1,3) and (3,5,3) are collinear