How to use MATLAB to complete the rank of a matrix?

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Ali Almakhmari
Ali Almakhmari on 10 Nov 2023
Edited: John D'Errico on 10 Nov 2023
I have this matrix here:
Wc=[0 0.285714285714286 0 0.918367346938775 0 9.83965014577259
0.285714285714286 0 0.918367346938775 0 9.83965014577259 0
0 -0.214285714285714 0 -2.29591836734694 0 -24.5991253644315
-0.214285714285714 0 -2.29591836734694 0 -24.5991253644315 0
0 -0.214285714285714 0 -2.29591836734694 0 -24.5991253644315
-0.214285714285714 0 -2.29591836734694 0 -24.5991253644315 0];
The rank of this matrix is 4 because column 3 and column 4 are linearly dependent. How can I use MATLAB to replace column 3 and column 4 with columns that will make the rank full (six)?

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Accepted Answer

John D'Errico
John D'Errico on 10 Nov 2023
Edited: John D'Errico on 10 Nov 2023
Trivial.
Replace the offending columns with vectors of random numbers. DONE. With probability 1, the result will be full rank. NOT random integers. Use rand, or randn.

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