Maths · Determinants and matrices of order two and three
Assertion & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \ma
Assertion \( \begin{array}{ccc}\mathbf{\Delta}= & & \\ & \sin \pi & \cos (\boldsymbol{x}+\boldsymbol{\pi} / \mathbf{4}) & \tan (\boldsymbol{x}- \\ \sin (\boldsymbol{x}-\boldsymbol{\pi} / \mathbf{4}) & -\cos (\boldsymbol{\pi} / \mathbf{2}) & \log (\boldsymbol{x} \\ \cot (\boldsymbol{\pi} / \mathbf{4}+\boldsymbol{x}) & \log (\boldsymbol{y} / \boldsymbol{x}) & \tan \end{array} \) 0 Reason A skew symmetric determinant of odd order equals 0
- A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
- B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
- C. Assertion is correct but Reason is incorrect
- D. Both Assertion and Reason are incorrect
Step-by-step solution
The given matrix is skew-symmetric of order 3 (odd). For any skew-symmetric matrix of odd order, the determinant is always zero. The reason states this property correctly. The assertion that the determinant equals 0 follows directly, so the reason is the correct explanation.
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