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Matrices and Determinants question

2025 · 23 Jan · Shift 1 · Q35
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  5. /2025 · 23 Jan · Shift 1 · Q35

Matrices and Determinants question

2025 · 23 Jan · Shift 1 · Q35

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If the system of equations (λ−1)x+(λ−4)y+λz=5λx+(λ−1)y+(λ−4)z=7(λ+1)x+(λ+2)y−(λ+2)z=9\begin{aligned} & (\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 \end{aligned}​(λ−1)x+(λ−4)y+λz=5λx+(λ−1)y+(λ−4)z=7(λ+1)x+(λ+2)y−(λ+2)z=9​ has infinitely many solutions, then λ2+λ\lambda^2+\lambdaλ2+λ is equal to
  1. A
    20
  2. B
    10
  3. C
    6
  4. D
    12
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