1.

Matrix \[{{M}_{r}}\] is defined as \[{{M}_{r}}=\left( \begin{matrix}    r & r-1  \\    r-1 & r  \\ \end{matrix} \right),\]\[r\in N\].  The value of  \[det({{M}_{1}})+\det \,({{M}_{2}})+\det \,({{M}_{3}})+....+\det \,({{M}_{2014}})\] is

A. \[2013\]
B. \[2014\]
C. \[{{(2013)}^{2}}\]
D. \[{{(2014)}^{2}}\]
Answer» E.


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