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Matrices and Determinants question

2019 · 12 Apr · Shift 1 · Q30
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  5. /2019 · 12 Apr · Shift 1 · Q30

Matrices and Determinants question

2019 · 12 Apr · Shift 1 · Q30

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If B=[52α1021α3−1]B = \left[ {\begin{matrix} 5 & {2\alpha } & 1 \\ 0 & 2 & 1 \\ \alpha & 3 & { - 1} \\ \end{matrix} } \right]B=​50α​2α23​11−1​​ is the inverse of a 3 × 3 matrix A, then the sum of all values of α\alphaα for which det(A) + 1 = 0, is :
  1. A
    2
  2. B
    - 1
  3. C
    0
  4. D
    1
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