$\left| {\begin{array}{cccccccccccccccccccc}{a + x}&y&z\\x&{a + y}&z\\x&y&{a + z}\end{array}} \right|$
$\left| {\begin{array}{cccccccccccccccccccc}{a + x}&y&z\\x&{a + y}&z\\x&y&{a + z}\end{array}} \right|$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
We have, $\left| {\begin{array}{cccccccccccccccccccc}{a + x}&y&z\\x&{a + y}&z\\x&y&{a + z}\end{array}} \right| = \left| {\begin{array}{cccccccccccccccccccc}a&{ - a}&0\\0&a&{ - a}\\x&y&{a + z}\end{array}} \right|$
$= \left| {\begin{array}{cccccccccccccccccccc}a&0&0\\0&a&{ - a}\\x&{x + y}&{a + z}\end{array}} \right|$
$= a\left( {{a^2} + az + ax + ay} \right)$
$= {a^2}(a + z + x + y)$
Community Answers (0)
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.