What is the meaning of this statement: M1 = txyz'/trgb';

I am given two matrices:

trgb = rgb([14:23 26:35 38:47 50:59 62:71 74:83 86:95 98:107 110:119 122:131 134:143 146:155 158:167 170:179 182:191 194:203 206:215],:)/255;

txyz = xyz([14:23 26:35 38:47 50:59 62:71 74:83 86:95 98:107 110:119 122:131 134:143 146:155 158:167 170:179 182:191 194:203 206:215],:);

The next instruction reads :

% find the linear transform between trgb and txyz

M1=txyz'/trgb';

Answer 1

[Star Strider]

The ‘trbg’ assignment passes that vector to either function ‘rgb’ or as indices into array ‘rbg’ and returns the result, then divides it by 255, apparently to normalise it. The ‘txyz’ assignment does something similar, without the division at the end. The ‘M1’ assignment uses a complex-conjugate transpose (a simple transpose if these are all real numbers) and then uses matrix right division to return an array result.

[Roger Breton]

Wow! Thank you!!!! Star Strider!! A "complex-conjugate transpose". There are all real numbers as far as I can tell (I'm no mathematician). A matrix "right division"? I'll have to look that up! Thank you so much for your kind assistance -- kudo to you :-)

[Star Strider]

I can help with that, too. See the documentation for mrdivide,/ for information on the function and operator and how to use them.

I very much appreciate your compliment!

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