Question

If determinant is zero prove without expansion that xyz=-1 where x y z are unequal

Answer 1

Answer:

Step-by-step explanation:

Take a matrix of order 3×3

X 0 1

1 Y 0

0 1 Z

Given det of matrix =0

Therefore X(YZ-0) -0 +1(1-0)=0

XYZ+1=0

XYZ=-1