Abstract
Systems of linear equations occur in every branch of knowledge. We mention a few examples within Linear Algebra. Expressing b as a linear combination of a1, a2,…, ak is the same as solving Ax = b where A = [a1 : a2 : ⋯ : ak]. The vectors a1, a2,…, ak are linearly dependent iff Ax = 0 has a non-null solution. Solution of linear equations also plays an important role in obtaining approximate solutions of non-linear equations. In this chapter, we make a systematic study of the theoretical aspects of the solution of linear equations and give some computational procedures.
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