If the matrix M(r ) is given by M(r)=[{...

If the matrix `M_(r )` is given by `M_(r)=[{:(r,r-1),(r-1,r):}],r=1,2,3..,`
then the value of det `(M_(1))+det(M_(2))+...+"det"(M_(2008))` is

A

2007

B

2008

C

`(2008)^(2)`

D

`(2007)^(2)`

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The correct Answer is:

C

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