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Ted123
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Homework Statement
[PLAIN]http://img25.imageshack.us/img25/3409/linearf.jpg
Homework Equations
The Attempt at a Solution
Is this the right method to do this type of question (as I haven't seen an example of finding a coordinate vector before)?
Do I solve the following system of equations?
[itex]\displaystyle \frac{1}{2} = x + \frac{1}{2}y + \frac{1}{3}z [/itex]
[itex]\displaystyle \frac{1}{3} = -x + \frac{1}{2}y[/itex]
[itex]\displaystyle -\frac{9}{2} = x+z[/itex]
If so by Guassian Elimination I get
[itex]x=1,\,y=\frac{8}{3},\,z=-\frac{11}{2}[/itex]
So is [itex]\begin{bmatrix} 1 \\ 8/3 \\ -11/2 \\ \end{bmatrix}[/itex] the coordinate vector?
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