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Matrix M(r) is defined as M(r)=[(r,r-1...

Matrix `M_(r)` is defined as
`M_(r)=[(r,r-1),(r-1,r)],rin N`. If `sum_(r=1)^(2007)det(M_(r))=(2000+lamda)^(2)`, then find the value of `lamda`

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The correct Answer is:
`7`
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