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If Ai =[{:(a^(i) , b^(i)),(b^(i) , a^(i...

If ` A_i =[{:(a^(i) , b^(i)),(b^(i) , a^(i)):}] and | alpha | lt 1 , | b| lt 1, ` then
`underset(i=1) overset(infty) sum " det " (A_i) ` is equal to :

A

` (a^(2))/((1-a) ^(2)) - (b^(2))/((1-b)^(2))`

B

` (a^(2) -b^(2))/((1-a^(2)) (1-b^(2)))`

C

` (a^(2))/((1-a) ^(2))+ (b^(2))/((1-b)^(2))`

D

` (a)/(1+a) -(b)/(1+b)`

Text Solution

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The correct Answer is:
B
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