Lecture Slides 4

# Lecture Slides 4 - AMS 210 Applied Linear Algebra Fall 2009...

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AMS 210: Applied Linear Algebra Fall 2009 September 10, 2009 AMS 210

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Topics Today Problem Set Matrices AMS 210
Problem Set This week’s problem set is due next Thursday, September 17. Read sections 1.4 and 2.1. Exercises: 1.3: 16ab, 17ab; 1.4: 1, 8, 9ab; 2.1: 5ab, 7, 12ae Show work. AMS 210

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Matrices Notation is important. The chapter 1 notation for linear systems is ineﬃcient. Matrices provide a better notation for such systems. Matrix notation not magic. AMS 210
Specifying a model with n entities tracked requires specifying mentioning O ( n 2 ) variable names. The resulting models aren’t algebraic objects and manipulating them can be ad hoc. The notation hides fundamental uniﬁcatication of linear models. The same model written with diﬀerent variables is in a useful sense the same model, but won’t show up that way. Makes separation of concerns tricky: evaluating a model requires substituting O ( n ) individual values into variables. This implies some separate form of specifying model inputs -

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Lecture Slides 4 - AMS 210 Applied Linear Algebra Fall 2009...

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