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Let A=({:(1,1,1),(0,1,1),(0,0,1):}). The...

Let `A=({:(1,1,1),(0,1,1),(0,0,1):})`. Then for positive integer n, `A^n` is

A

`({:(1,n,n^2),(0,n^2,n),(0,0,n):})`

B

`({:(1,n,n((n+1)/(2))),(0,1,n),(0,0,1):})`

C

`({:(1,n^2,n),(0,n,n^2),(0,0,n^2):})`

D

`({:(1,n,2n-1),(0,(n+1)/(2),n^2),(0,0,(n+1)/(2)):})`

Text Solution

Verified by Experts

The correct Answer is:
B
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