Let A( )= ( array cc + & 2 - 2 & - array ) Assertion : [A (π(3)] 3 = –I Reason : A (θ) A…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let \(A(\theta)=\left(\begin{array}{cc}
\cos \theta+\sin \theta & \sqrt{2} \sin \theta \\
-\sqrt{2} \sin \theta & \cos \theta-\sin \theta
\end{array}\right)\)
Assertion : [A (π(3)]3 = –I
Reason : A (θ) A (φ) = A (θ + φ)
Assertion : [A (π(3)]3 = –I
Reason : A (θ) A (φ) = A (θ + φ)
- If both assertion and reason are correct and reason is the correct explanation of assertion.
- If both assertion and reason are true but reason is not the correct explanation of assertion.
- If assertion is true but reason is false.
- If assertion is false but reason is true.
Answer
(A) If both assertion and reason are correct and reason is the correct explanation of assertion.
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