`lambda^3-6lambda^2-15lambda-8=0`

" If "lambda^(3)-6 lambda^(2)+7 lambda+2=0^(" is ")" the characteristic equation of a matrix "A" then "" Trace "A+" det "A" is "

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=

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=

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=

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)

If plambda^4+qlambda^3+rlambda^2+slambda+t=|(lambda^2+3lambda,lambda-1,lambda+3),(lambda+1,2-lambda,lambda-4),(lambda-3,lambda+4,3lambda)|, then value of t is

If plambda^4+qlambda^3+rlambda^2+slambda+t=|(lambda^2+3lambda,lambda-1,lambda+3),(lambda+1,2-lambda,lambda-4),(lambda-3,lambda+4,3lambda)|, then value of t is

A=[[1,4, of matrix 1,8,8 lambda-6lambda,8,8 lambda-61+lambda^(2),8 lambda+4,2 lambda+21]]