If a, b, c are non-zero real numbers and if the system of equations (a - 1) x = y + z, (b…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If a, b, c are non-zero real numbers and if the system of equations
(a - 1) x = y + z,
(b - 1) y = z + x,
(c -1)z = x + y,
has a non-trivial soltuion, then ab + bc + ca equals:
(a - 1) x = y + z,
(b - 1) y = z + x,
(c -1)z = x + y,
has a non-trivial soltuion, then ab + bc + ca equals:
- a + b + c
- abc
- 1
- -1
Answer
(B) abc
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