Home
Class 12
MATHS
Let A=[(a,0, 0),( 0,a,0),( 0, 0,a)] , t...

Let `A=[(a,0, 0),( 0,a,0),( 0, 0,a)]` , then `A^n` is equal to `[(a^n,0, 0),( 0,a^n,0),(0, 0,a)]` (b) `[(a^n,0 ,0),( 0,a,0 ),(0, 0,a)]` (c) `[(a^n,0, 0),( 0,a^n,0),( 0, 0,a^n)]` (d) `[(n a,0, 0),( 0,n a,0 ),(0, 0,n a)]`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A=((x,0,0),(0,x,0),(0,0,x)) then A^(n)=(ninN)

If A=[[a,0,0],[0,a,0],[0,0,a]] then A^n='

If A=[(i,0,0),(0,i,0),(0,0,i)] then for ninN,A^(4n+1)=

If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l , then value of n is equal to

If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) [(0 ,0) ,(0, 0)] (c) [(1, 0) ,(0, 1)] (d) [(0,i) ,(i,0)]

If A=[(1,a),(0, 1)] , then A^n (where n in N) equals [(1,n a),(0, 1)] (b) [(1,n^2a),(0, 1)] (c) [(1,n a),(0 ,0)] (d) [(n,n a),(0,n)]

If A=[(1,a),(0, 1)] , then A^n (where n in N) equals (a) [(1,n a),(0, 1)] (b) [(1,n^2a),(0, 1)] (c) [(1,n a),(0 ,0)] (d) [(n,n a),(0,n)]

If A = [(i,0),(0,i)] then A^(4n) (n in N ) equals :

if n is a positive integer and A=[(a,0,0),(0,b,0),(0,0,c)] then A^(n) is