3 and 4 .Determinants and Matrices
easy

$\left| {\,\begin{array}{*{20}{c}}x&4&{y + z}\\y&4&{z + x}\\z&4&{x + y}\end{array}\,} \right| = $

A

$4$

B

$x + y + z$

C

$xyz$

D

$0$

Solution

${C_1} \to {C_1} + {C_3}$ तथा ${C_1}$से ($x + y + z$) तथा ${C_2}$ से $4$ उभयनिष्ठ लेने पर हम देखतें है कि प्रथम दो स्तम्भ एक समान हैं।

Standard 12
Mathematics

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