Let S be the set of all λ R for which the system of linear equations 2x – y + 2z = 2 x – 2y + λ z = –4 x + λ y + z = 4 has no solution. Then the set S:

(B) contains exactly two elements.

(A) contains more than two elements.

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 2 Sep, Morning shift · Q4581

JEE Main 20202 Sep, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

Let S be the set of all

\lambda

\in

R for which the system of linear equations 2x – y + 2z = 2 x – 2y +

\lambda

z = –4 x +

\lambda

y + z = 4 has no solution. Then the set S :