If x, y and z are non-zero distinct numbers, then vmatrix x+y & y+z & z+x \\ z & x & y \\ 1 & 1 & 1 vmatrix is equal to Option 1: x + y + z Option 2: 2(x + y + z) Option 3: 1 Option 4: 0

The answer is '0'. View full solution:

Algebra > Matrices & Determinants

Medium

core

If $x, y$ and $z$ are non-zero distinct numbers, then $\begin{vmatrix} x+y & y+z & z+x \\ z & x & y \\ 1 & 1 & 1 \end{vmatrix}$ is equal to

$x + y + z$

$2(x + y + z)$

✅ Correct Option: 4

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