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

Answer: (B)

Statement I is True, Statement II is True

Answer 2

The Correct option is (B): Statement I is True, Statement II is True