Matrix Division of two 4x1 matrices to get a 4x4 matrix

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aaron pung
aaron pung 2015-10-26
回答： James Tursa 2015-10-27
I have three matrices: S, Sprime, and M. They are:
Sprime = [0.5; 0.5; 0; 0];
S = [1; 0; 0; 1];
M = 0.5*[1, 1, 0, 0; ...
1, 1, 0, 0; ...
0, 0, 0, 0; ...
0, 0, 0, 0]; ...
In the equation: Sprime = M*S, the math works out... M*S == S. However, I'm having trouble solving for M and getting the same matrix shown above. Is this possible? Or is it too arbitrary for some reason?.

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James Tursa
James Tursa 2015-10-27
In general there will be no unique solution for M if the only thing you have to start with is S and Sprime. If you think about it, that is 4 equations and 16 unknowns. So using various methods in MATLAB may yield a solution that will not match what you started with.

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