Home
Class 12
MATHS
If A = [(i,0),(0,i)] then A^(4n) (n in ...

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

A

`[[0,i],[i,0]]`

B

`[[i,0],[0,i]]`

C

`[[1,0],[0,1]]`

D

`[[0,0],[0,0]]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

  • MAXIMA AND MINIMA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|167 Videos

Similar Questions

Explore conceptually related problems

If A=[[cos theta , sin theta],[sin theta,-costheta]], B = [[1,0],[-1,1]], C=ABA^(T), then A^(T) C^(n) A, n in I^(+) equals to

If A= [[0,1,0],[1,0,0],[0,0,1]] , then A^(2n)= where n is a positive integer.

I_(m,n) = int_0^1 x^m (l_n x)^n dx equals:

lim_(n to oo) {(n!)/((kn)^n)}^(1/n) , where k != 0 is a constant and n in N , equals :

If I_n = int_0^(pi//4) tan^n x dx , then lim_(n to oo) n [I_n + I_(n -2)] equals :

if the product of n matrices [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]…[(1,n),(0,1)] is equal to the matrix [(1,378),(0,1)] the value of n is equal to

If n(A)=4,n(B)=3,n(AxxBxxC)=24 , then n(C ) equals

I_(n) = int_0^(pi/4) tan^(n) x dx, n in N , then I_(10)+I_(8) =