Using matrices to solve linear systems

Equivalence of systems of linear equations, row operations, corresponding matrices representing the linear systems

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Created On: August 21st, 2017; 7 years ago
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Solving Systems of Linear Equations - A First Course in Linear Algebra

We will motivate our study of linear algebra by considering the problem of solving several linear equations simultaneously. The word solve tends to get abused somewhat, as in “solve this problem.” When talking about equations we understand a more precise meaning: find all of the values of some variable quantities that make an equation, or several equations, simultaneously true.

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Submitted At: September 11th, 2017; 7 years ago
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Definition of equivalent systems of linear equations

Using matrices to solve linear systems

math.la.d.linsys.equiv

math.la.d.mat.row_op

math.la.d.mat.row_equiv

math.la.t.mat.row_equiv.linsys

math.la.e.mat.echelon.of

Solving Systems of Linear Equations - A First Course in Linear Algebra

math.la.d.linsys.equiv