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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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A linear system is equivalent to a matrix equation.

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A linear system is equivalent to a vector equation.Close match
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Linear systems and matricesClose match
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The matrix equation Ax=b has a solution if and only if b is a linear combination of the columns of A.Close match
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