Bitsat
Matrices And Determinants
BITSAT 2023
MCQ+3 / -12023
If \(a, b, c\) are non-zero real numbers and if the system of equations \((a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0\) has a non-trivial solution, then \(a b+b c+c a\) equals to
Bitsat
BITSAT 2023
If \(a, b, c\) are non-zero real numbers and if the system of equations \((a-1) x-y-z=0, -x+(b-1) y-z=0,-x-y+(c-1) z=0\) has a non-trivial solution, then \(a b+b c+c a\) equals to