By default is shows a 4 * 4 matrix equation filled by the same values I use in my C# sample projects.
Pressing the “Solve” button solves the matrix equation and prints out the result in the fields at the very bottom and the result of the elimination in the matrix.
For the detailed description of the Givnes algorithm by Gauss see Rotation Matrix
Matrix solver by Givens
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Demo Project matrix equation solver in Java script