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One of the harder exercises I had attempted in my linear algebra course was the "connected tanks of water and salt". After searching for the solution, I found
by jamesmiller5 13y ago
One of the harder exercises I had attempted in my linear algebra course was the "connected tanks of water and salt".
After searching for the solution, I found this awesome resource that combines linear algebra, differential equations and graph theory to model salt flows in various networks of tanks.
http://www.karlin.mff.cuni.cz/~slavik/papers/mixing-problems.pdf http://www.karlin.mff.cuni.cz/~slavik/papers/mixing-problems...
- jayd16 13y ago>"connected tanks of water and salt"[...]After searching for the solution hehehe
- lutusp 13y agoThat's a bit beyond linear algebra -- it's only soluble (no pun intended) using linear alegbra's methods for any arbitrary instant of time. The full evolution of the system over time requires classical analysis and differential equations having nonlinear properties. My point is that the linked article uses linear algebra as part of a problem statement that requires more than linear algebra for its analysis.