यदि `lamda in R" और "Delta=|{:(a,b),(c,d):}|`" तो "lamda Delta =`

If p lamda ^(4) + q lamda ^(3) + r lamda ^(2) + s lamda +t = |{:(lamda ^(2) + 3 lamda, lamda -1, lamda +3), ( lamda +1, 2 - lamda , lamda -4), ( lamda -3, lamda+4, 3lamda):}|. then the value of t is

In a Delta ABC, (a+b+c) (b+c-a)=lamda bc if

If A is a square matrix of order nxxn and lamda is a scalar then |lamdaA| is (A) lamda|A| (B) lamda^n|A| (C) |lamda||A| (D) none of these

If A is a square matrix of order nxxn and lamda is a scalar then |lamdaA| is (A) lamda|A| (B) lamda^n|A| (C) |lamda||A| (D) none of these

The determinant Delta =|(lamda a , lamda^(2)+a^(2),1),(lamda b,lamda^(2)+b^(2),1),(lamdac,lamda^(2)+c^(2),1)| equals

If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),((a-lamda)^(2),(b-lamda)^(2),(c-lamda)^(2))|=k lamda|(a^(2),b^(2),c^(2)),(a,b,c),(1,1,1)| lamda!=0 then k is equal to

If |(a^(2),b^(2),c^(2)),((a+lamda)^(2),(b+lamda)^(2),(c+lamda)^(2)),((a-lamda)^(2),(b-lamda)^(2),(c-lamda)^(2))|=k lamda|(a^(2),b^(2),c^(2)),(a,b,c),(1,1,1)| lamda!=0 then k is equal to

If Z=(A^(4)B^(1/3))/(CD^(3/2)) ,than relative error in Z (Delta Z)/(Z) is equal to (a) ((Delta A)/(A))^(4)+((Delta B)/(B))^(1/3)-((Delta C)/(C))-((Delta D)/(D))^(3/2) (b) 4((Delta A)/(A))+((1)/(3))((Delta B)/(B))+((Delta C)/(C))+((3)/(2))((Delta D)/(D)) (c) 4((Delta A)/(A))+(1)/(3)((Delta B)/(B))-((Delta C)/(C))-((3)/(2))((Delta D)/(D)) (d) ((Delta A)/(A))^(4)+(1)/(3)((Delta B)/(B))+((Delta C)/(C))+(3)/(2)((Delta D)/(D))