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...Linear system math algebra systems of equations jiwen he department mathematics university houston jiwenhe uh edu denition fact equivalence matrix reduction consistency basic on solution a example two in variables three equivalent strategy for solving notation form by row eliminations elementary operations to triangular diagonal fundamental questions existence uniqueness equation alinear x b n examples and rearranged not xx asolution alist s numbers that makes each the true when values are substituted xn respectively determines line space one unique no...