If the system of equations 2x - y + z = 4, 5x + λ y + 3z = 12, 100x - 47y + μ z = 212 has infinitely many solutions, then μ - 2λ is equal to

Matrices and Determinants: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q54

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of equations

2x - y + z = 4

5x + \lambda y + 3z = 12

100x - 47y + \mu z = 212

has infinitely many solutions, then

\mu - 2\lambda

is equal to

JEE Main 2025 · January, Unspecified (session-level dataset) · Q54

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002

If the system of equations

2x - y + z = 4

5x + \lambda y + 3z = 12

100x - 47y + \mu z = 212

has infinitely many solutions, then

\mu - 2\lambda

is equal to