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 3 years ago
Although problems are categorized by topics, this should not be taken very seriously since
many problems ﬁt equally well in several diﬀerent topics.
Notation: We occasionally write M(n, F) for the ring of all n × n matrices over the ﬁeld F, where
F is either R or C.
2. 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)}
 3 years ago
Although problems are categorized by topics, this should not be taken very seriously since many problems ﬁt equally well in several diﬀerent topics. Notation: We occasionally write M(n, F) for the ring of all n × n matrices over the ﬁeld F, where F is either R or C. 2. 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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