Question 34

Mathematics Determinants Hard

A matrix M<sub>r</sub>&nbsp;is defined as&nbsp;<span class="math-tex">\(M_r = \begin{bmatrix} r &amp; r - 1 \\\ r - 1 &amp; r \end{bmatrix} r \in N\)</span>, then the value of det (M<sub>1</sub>) + det(M<sub>2</sub>) + ... + det(M<sub>2015</sub>) is

(A) 2014<sup>2</sup>
(B) 2013<sup>2</sup>
(C) 2015
(D) 2015<sup>2</sup>
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

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