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f(x) = [(cosx, 0, sinx), (0, 1, 0), (-sinx, 0 cosx)], g(y) = [(cosy, - siny, 0), (siny, cosy, 0), (0, 0, 0)]

(i) f(x) . g(y) = ... 

(a) f(xy) 

(b) f( x/y

(c) f(x + y) 

(d) f(x - y) 

(ii) Which of the following is correct?

(a) [f(x)]-1 = 1/f(x)

(b) [f(x)]-1 = -f(x)

(c) [f(c)]-1 = f(-x)

(d) [f(x)]-1 = -f(-x)

(iii) [f(x) g(y)]-1 = ...

(a) f(x-1) g(y-1)

(b) f(y-1) g(x-1)

(c) f(-x) g(-y)

(d) g(-y) f(-x)

1 Answer

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Best answer

The correct option (i) (d) f(x - y)

(ii) (c) [f(c)]-1 = f(-x)

(iii) (c) f(-x) g(-y)

Explanation:

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