We learned the GSP yesterday in class, but my teacher said something that seems to conflict with the textbook.(adsbygoogle = window.adsbygoogle || []).push({});

He said that we can set our first vector ([itex]w_{1}[/itex]) equal to any vector in the set. However, I keep getting different answers than our textboook when I do this.

My question: Is it possible to set the starting vector equal to any vector in the set? Then, do I have to continue the GSP in the order of the vector subscripts?

For instance, assume that I have vectors [itex]v_{1}, v_{2}[/itex], and [itex]v_{3}[/itex]. I want to set [itex]v_{3}[/itex] as my first vector [itex]w_{1}[/itex]. So then my list becomes [itex]v_{3}, v_{2}[/itex], and [itex]v_{1}[/itex]. Do I now have to do the order backwards, or can I do the order [itex]v_{3}, v_{1}[/itex] (going 1[itex]\rightarrow[/itex] 2 [itex]\rightarrow[/itex] 3), and [itex]v_{2}[/itex], etc.

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# Order of Graham-Schmidt Process

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