Lesson 9b -Homogenous Systems ^ Particular Solution

Why wellanyfreevariablexjwemustsubstitutexjti

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Unformatted text preview: Where our ti are the free variables, and our vi are non‐zero vectors. Why? Well any free variable (xj) we must substitute xj= ti (depending on the free variable location, we may have to skip some basic variables before getting to the next free variable). This means for each free variable, we introduce a new parameter, and the vector (vi) will (at minimum) have the jth entry as a 1. 1 23/09/2013 Example If we row reduce a matrix and it looks like the following: 1 0 2 0 0 0 1 2 1 0 0 0 0 0 0 He...
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