If `a , b , c`
are non-zero, then the system of equations
`(alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0`
has a non-trivial solution if
`alpha^(-1)=-(a^(-1)+b^(-1)+c^(-1))`
b. `alpha^(-1)=a+b+c`
c.`alpha+a+b+c=1`
d. none of these
A. `alpha^(-1) = -(a^(-1) + b^(-1) + c^(-1))`
B. `alpha^(-1) = a +b +c`
C. `alpha + a + b + c = 1`
D. none of these
