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Linear systems and matrices
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A linear system is equivalent to a vector equation.
A linear system is equivalent to a matrix equation.
Terminology
Using matrices to solve linear systems
Matrix equations
Row equivalent matrices represent equivalent linear systems
Linear systems and echelon matrices
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Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix
Example of solving a 3-by-3 homogeneous system of linear equations by row-reducing the augmented matrix
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Linear systems and matrices
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Using matrices to solve linear systems
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Example of solving a 3-by-3 system of linear equations by row-reducing the augmented matrix
Example of solving a 3-by-3 homogeneous system of linear equations by row-reducing the augmented matrix
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