For a non homogeneous system of 2012 equations in 1999 unknowns- answ.docx

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For a non homogeneous system of 2012 equations in 1999 unknowns, answer the following three questions: Can the system be inconsistent? Can the system have infinitely many solutions? can the system have a unique solution ? Solution inconsistencies occur if the left-hand sides of the equations in a system are linearly dependent, and the constant terms do not satisfy the dependence relation. non homogeneous system of linear equations has a unique non-trivial solution if and only if its determinant is non-zero. If this determinant is zero, then the system has either no nontrivial solutions or an infinite number of solutions. .

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