The system of linear equations x + y - z = 0 x - y - z = 0 x + y - z = 0 has a…

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

The system of linear equations

x + \lambda y - z = 0

\lambda x - y - z = 0

x + y - \lambda z = 0

has a non-trivial solution for : (1) exactly three values of

\lambda

. (2) infinitely many values of

\lambda

. (3) exactly one value of

\lambda

. (4) exactly two values of

\lambda