Part 1 -Solving Underdetermined Linear Algebra Problems

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linear algebra applied math matrix theory underdetermined equations underdetermined matrix equation singular matrix approximation methods singular value decomposition non square matrix null space generalized inverse

We address an approximation method for solving underdetermined matrix problems; that is problems with more unknowns than equations. We show that applying some prior knowledge or assumed property of the solution can reduce solution space and significantly improve on the solution estimation.
In part 1 we present the concept and show several one dimensional examples.

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