Introduction

Rectangular linear systems:

• Misdesigned systems;

  

• Systems with limited forces;

  

• Statically indeterminate systems;

  

• Measured data;
• Compression;
• Redistribution;
• ...

Matrix shapes:

There may be no solution, a unique solution, or infinitely many solutions, depending on circumstances.

Echelon form: The first nonzero element, if any, in each row is to the right of the first nonzero element of the previous row

These first nonzero elements will be called ``pivots.''

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