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Matrices and Determinants question

2021 · 20 Jul · Shift 1 · Q26
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  5. /2021 · 20 Jul · Shift 1 · Q26

Matrices and Determinants question

2021 · 20 Jul · Shift 1 · Q26

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=[23a0]A = \left[ {\begin{matrix} 2 & 3 \\ a & 0 \\ \end{matrix} } \right]A=[2a​30​], a ∈\in∈ R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible values of determinant of P is equal to :
  1. A
    36
  2. B
    24
  3. C
    45
  4. D
    18
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