A matrix has its first and second rows identical

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

A 3×33\times3 matrix MM has its first and second rows identical. Which of the following is necessarily true about det⁡(M)\det(M)? (a) det⁡(M)=∏i=13Mii\det(M)=\displaystyle\prod_{i=1}^{3}M_{ii} (b) det⁡(M)\det(M) cannot be determined from the given information (c) det⁡(M)=0\det(M)=0 (d) det⁡(M)=1\det(M)=1

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