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Matrices and Determinants question

2022 · 27 Jun · Shift 1 · Q21
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  5. /2022 · 27 Jun · Shift 1 · Q21

Matrices and Determinants question

2022 · 27 Jun · Shift 1 · Q21

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let the system of linear equations x+2y+z=2x + 2y + z = 2x+2y+z=2, αx+3y−z=α\alpha x + 3y - z = \alphaαx+3y−z=α, −αx+y+2z=−α- \alpha x + y + 2z = - \alpha−αx+y+2z=−α be inconsistent. Then α\alphaα is equal to :
  1. A
    52{5 \over 2}25​
  2. B
    −52-{5 \over 2}−25​
  3. C
    72{7 \over 2}27​
  4. D
    −72-{7 \over 2}−27​
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