2008Formalized MathematicsOpen access

Solutions of Linear Equations

Karol Pąk

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Abstract

Solutions of Linear EquationsIn this paper I present the Kronecker-Capelli theorem which states that a system of linear equations has a solution if and only if the rank of its coefficient matrix is equal to the rank of its augmented matrix.MML identifier: MATRIX15, version: 7.8.09 4.97.1001

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Solutions of Linear EquationsIn this paper I present the Kronecker-Capelli theorem which states that a system of linear equations has a solution if and only if the rank of its coefficient matrix is equal to the rank of its augmented matrix.MML identifier: MATRIX15, version: 7.8.09 4.97.1001

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Solutions of Linear EquationsIn this paper I present the Kronecker-Capelli theorem which states that a system of linear equations has a solution if and only if the rank of its coefficient matrix is equal to the rank of its augmented matrix.MML identifier: MATRIX15, version: 7.8.09 4.97.1001

Key concepts: Mathematics, Applied mathematics, Algebra over a field, Calculus (dental), Pure mathematics, Medicine, Dentistry

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