The system of linear equations λ x + 2y + 2z = 5 2 λ x + 3y + 5z = 8 4x + λ y + 6z = 10 has

(A) a unique solution when λ = –8

(C) infinitely many solutions when λ = 2

Matrices and Determinants: JEE Main 2020 Mathematics question

JEE Main 2020 · 8 Jan, Evening shift · Q4583

JEE Main 20208 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

The system of linear equations

\lambda

x + 2y + 2z = 5 2

\lambda

x + 3y + 5z = 8 4x +

\lambda

y + 6z = 10 has