- #1
UrbanXrisis
- 1,196
- 1
Consider the basis B of R^2 consisting of vectors
[tex]\left(\begin{array}{c}-6 & -2 \end{array}\right)[/tex] and [tex]\left(\begin{array}{c}1 & 3 \end{array}\right)[/tex]
find x in R^2 whose coordinate vector relative to the basis B is
[tex][x]_B = \left(\begin{array}{c}6 & 5 \end{array}\right)[/tex]
I need to find x
i'm not sure what a coordinate vector is but here's how I would solve this:
-x6+y=6
-x2+3y=5
solving for x and y, i get [tex]x = \left(\begin{array}{c}-.8125 & 1.125 \end{array}\right)[/tex]
this is not correct and I'm not sure how to find x
[tex]\left(\begin{array}{c}-6 & -2 \end{array}\right)[/tex] and [tex]\left(\begin{array}{c}1 & 3 \end{array}\right)[/tex]
find x in R^2 whose coordinate vector relative to the basis B is
[tex][x]_B = \left(\begin{array}{c}6 & 5 \end{array}\right)[/tex]
I need to find x
i'm not sure what a coordinate vector is but here's how I would solve this:
-x6+y=6
-x2+3y=5
solving for x and y, i get [tex]x = \left(\begin{array}{c}-.8125 & 1.125 \end{array}\right)[/tex]
this is not correct and I'm not sure how to find x
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