Question

Prove that
[ 1 x yz
1 y zx
1 z xy] =(x-y) (y-z) (z-x) ​

Answer 1

Answer:

Multiply the first row by x, second by y , third by z TO GET

[ x x² xyz

y y² xyz

z z² xyz]

TAKE xyz common from 3rd Coloum

IT WILL RESULT IN A SIMPLE PROPERTY OF DETERMINANT