Which of the following sets of vectors are bases for R^2 ?
a). {(0, 1), (1, 1)}
b). {(1, 0), (0, 1), (1, 1)}
c). {(1, 0), (−1, 0}
d). {(1, 1), (1, −1)}
e). {((1, 1), (2, 2)}
f ). {(1, 2)}

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so f is ruled out....you would only get vectors of varying magnitude

i think e can be ruled out for a similar concept: (2,2) is just (1,1) with twice the magnitude

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