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Linear systems and matrices

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Matrix equations
Linear systems and echelon matrices
A linear system is equivalent to a matrix equation.
A linear system is equivalent to a vector equation.
Terminology
Using matrices to solve linear systems
Row-equivalent augmented matrices represent equivalent systems

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Row-equivalent augmented matrices represent equivalent systems

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A matrix equation is equivalent to a linear systemClose match
Equation operations on a linear system give an equivalent system.Close match
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A linear system is equivalent to a matrix equation.Close match
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Every matrix is row-equivalent to a matrix in reduced row echelon form.Close match
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