Question

If \(f(x)\) = \(\begin {bmatrix} Cos x& -sinx & 0\\sinx & cos x& 0\\0&0&1 \end {bmatrix} \)Statement I \(⇒ f(x).f(y) = f(x+y)\) Statement II \(⇒f(-x) =0 \) is invertible

• A. Statement I is True, Statement II is False
• B. Statement I is True, Statement II is True
• C. Statement I is False, Statement II is True
• D. Statement I is False, Statement II is False

Answer 1

The Correct Option is B

Option (B) is correct: Both Statement I and Statement II are true.