JEE Main 2024 Mathematics question
Consider the matrix Given below are two statements : Statement I : f(–x) is the inverse of the matrix f(x). Statement II : f(x) f(y) = f(x + y). In the light of the above statements, choose the correct answer from the options given below
Answer: (A)
Solution
Multiplying, f(x)f(y) has entries cos(x+y), −sin(x+y), sin(x+y), cos(x+y) and 1, i.e. f(x+y), so
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