The number of real values of … for which the system of linear equations 2x + 4y … …z = 0 4x + …y + 2z = 0 …x + 2y + 2z = 0 has infinitely many solutions, is :

Option B. The system of equations can be written in the matrix form as

Matrices and Determinants

JEE Main 2017 · 8 Apr, Morning shift · Q4558

MathematicsHard244×since 2002Q4558

The number of real values of

\lambda

for which the system of linear equations 2x + 4y

-

\lambda

z = 0 4x +

\lambda

y + 2z = 0

\lambda

x + 2y + 2z = 0 has infinitely many solutions, is :