I've been dabbling with linear algebra lately and on the MIT OCW course for linear algebra, the professor talks about a column representation of a system of linear equations. For example, you teaches you to represent a(adsbygoogle = window.adsbygoogle || []).push({});

2x + 3y = 4

5x + 7y = 9

as a

x [[itex]\stackrel{2}{5}[/itex]] + y [[itex]\stackrel{3}{7}[/itex]] = [[itex]\stackrel{4}{9}[/itex]]

The professor says one can perform this alternate way to solve a SoE, but what's the logic that allowed people to discover this new method?

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# Column picture for representing a system of equations

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