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How to divide array, that result would be like dividing columns?

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Hello, Can somebody give a little explanation about matrix division? For example there are two arrays a (100x5) and b (100x5). If I try to left divide two columns;
c=a(:,1)\b(:,1);
Result is c(1x1), However if I try to divide both arrays:
C=a\b;
Result is c(5x5), why it is not c(1x5)? As I understand it is different when dividing columns vs dividing matrix.

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Accepted Answer

Walter Roberson
Walter Roberson on 14 Jul 2018
Edited: Walter Roberson on 14 Jul 2018
All combination of columns are used.
a(:,1)\b(:,1) a(:,1)\b(:,2) a(:,1)\b(:,3) ...
a(:,2)\b(:,1) a(:,2)\b(:,2) a(:,2)\b(:,3) ...
You could do
arrayfun(@(COL) A(:,COL)\B(:,COL), 1:size(A,2))

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