lecture1withans - Click to edit Master subtitle style Some...

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Click to edit Master subtitle style 12/9/10
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Click to edit Master subtitle style 12/9/10 Some preliminary comments about numbers The rational number system. The real number system. The complex number system.
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Click to edit Master subtitle style 12/9/10 Some preliminary comments about numbers
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Click to edit Master subtitle style 12/9/10 Some preliminary comments about numbers
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Click to edit Master subtitle style 12/9/10 Linear algebra lives in two worlds… Abstract vector spaces Abstract linear transformation s Rn Matrices Matrix algorithms In this world: Easier to prove things. Easier to see the underlying structure of a problem. Easier to think about the relationships between different problems. In this world: Easier to do calculations. Everything is very simple and concrete. Ready-made for a computer . The power of linear algebra comes from having both points of view available and being able to easily move between them.
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