The "Hue" Is the Colour, Independent of Brightness and How

Essay

The "hue" is the colour, independent of brightness and how much pure white has been added to it. We can make a simple definition of hue as the set of ratios R:G:B.
Suppose a colour (i.e., an RGB) is divided by 2.0, so that the RGB triple now has values 0.5 times its former values.
Explain using numerical values:
(a) If gamma-correction is not applied, does the second RGB have the same hue as the first RGB, when displayed? (we're not discussing any psychophyisical effects that change our perception - here we're just worried about the machine itself).
(b) State all colour triples for which the hue is unchanged.