Consider the matrix f(x) = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ 1 0 0 0 x cos x sin 0 x sin – x cos 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 g

Question

Consider the matrix f(x) = ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ 1 0 0 0 x cos x sin 0 x sin – x cos 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

Accepted Answer

Both Statement I and Statement II are true

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