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For a matrix A=[[1,2r-1] , [0,1]] then p...

For a matrix `A=[[1,2r-1] , [0,1]]` then `prod_(r=1)^(60) [[1,2r-1] , [0,1]]=`

A

` [[1, 100],[0,1]]`

B

` [[1, 4950],[0,1]]`

C

` [[1, 5050],[0,1]]`

D

` [[1, 2500],[0,1]]`

Text Solution

Verified by Experts

The correct Answer is:
D
`prod_(r=1) ^(50) [[1, 2r-1],[0,1]]= [[1, 1+3+5+...+99],[0,1]]`
`=[[1 ,(50)^(2)],[0,1]]=[[1,2500],[0,1]]`
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