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Matrices and Determinants · 2015 · Shift 1

2 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2015 · Shift 1
Mathematics
Matrices and Determinants

Matrices and Determinants · 2015 · Shift 1

2 Mathematics questions from this JEE Advanced paper

Q37.Let X and Y be two arbitrary, 3 $\times$ 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 $\times$ 3, non-zero, symmetric matrix. Then which of the following matrices is(are) skew symmetric?
Mathematics · Matrices and Determinants · Multiple correct
Q38.Which of the following values of $α$ satisfy the equation $(1 - α)^{2} (2 + α)^{2} (3 + α)^{2} (1 + 2 α)^{2} (2 + 2 α)^{2} (3 + 2 α)^{2} (1 + 3 α)^{2} (2 + 3 α)^{2} (3 + 3 α)^{2} = - 648 α$ …
Mathematics · Matrices and Determinants · Multiple correct