| , * 20 c x&4& y + z &4& z + x &4& x + y , | = - Vidyadip

MCQ

$\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
$xyz$
✓
$0$

✓

Answer

Correct option: D.

$0$

d
(d) Apply ${C_1} \to {C_1} + {C_3}$ and take $x + y + z$ common from ${C_1}$ and $4 $ from ${C_2}$ to make first two columns identical.

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