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## Homework Statement

show that

[tex]\left(\begin{array}{cc}2 & -1\\-1 & 1\end{array}\right)[/tex]

forms a basis for R^2

## Homework Equations

## The Attempt at a Solution

ok...my instructor said he wants me to show that they are linearly independant and to show that they span to form a basis...not just by a theorm

im trying to show that the c_{1} and c_{2} are zero to say that they are but i get

2c1-c2=0 and c2=c1 which does not work

my instructor does not want me to do the determinant way

i think i can show that it spans R^2 but i just need help showing that it is linear independant