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Equations of Lines
In this part we need to take a view at the equation of a line in R3. As we saw in the earlier section the equation y = mx+b does not explain a line in R3, in place of it describes a plane. Though, this doesn't mean that we can't write down an equation for a line in 3-D space. We're just going to require a new way of writing down the equation of a curve.
Thus, before we get into the equations of lines we first require to briefly looking at vector functions. We are going to take a much more in depth look at vector functions later. At the moment all that we need to worry about is notational issues and how they can be employed to give the equation of a curve.
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It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen
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