STATEMENT - 1: Every two-rowed real orthogonal matrix is of any one of the forms ( array…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
STATEMENT - 1: Every two-rowed real orthogonal matrix is of any one of the forms
\(\left(\begin{array}{cc} \cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{array}\right) \text { or }\left(\begin{array}{cc} \cos \theta & \sin \theta \\ \sin \theta & -\cos \theta \end{array}\right)\)
STATEMENT - 2: If A is orthogonal matrix of order 2, then |A| = \(\text { ± }\)1.
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
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