so, if I wanna calculate the subspace spanned by A in:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A = {(1,0,1) , (0,1,0)} in R^{3}[/tex]

[tex] c_{1}(1,0,1)+c_{2}(0,1,0) = (x,y,z)[/tex]

i can make a system:

[tex]c_{1} = x[/tex]

[tex]c_{2} = y[/tex]

[tex]c_{1} = z[/tex]

from which I can conclude that x = z, and so, the subspace spanned will be the plane given by x = z.

Is this right?

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# Homework Help: Subspace spanned(Is this right?)

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