If the system of equations (λ - 1)x + (λ - 4)y + λ z = 5 λ x + (λ… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 23 January, Shift 1Solving Linear Equations (Matrix Method)

If the system of equations $(\lambda - 1)x + (\lambda - 4)y + \lambda z = 5$ $\lambda x + (\lambda - 1)y + (\lambda - 4)z = 7$ $(\lambda + 1)x + (\lambda + 2)y - (\lambda + 2)z = 9$ has infinitely many solutions, then $\lambda^2 + \lambda$ is equal to:

A
$10$
B
$12$
C
$6$
D
$20$

Answer & step-by-step solution

Practice more Solving Linear Equations (Matrix Method) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Solving Linear Equations (Matrix Method)

Answer & step-by-step solution

Practice more Solving Linear Equations (Matrix Method) questions

Related questions