jee-main 2025 Q4

jee-main · India · session1_24jan_shift1 Matrices Linear System and Inverse Existence
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
(1) 57
(2) 59
(3) 55
(4) 56
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\\
(1) 57\\
(2) 59\\
(3) 55\\
(4) 56