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Name two pairs of vectors that could span `RR^2`. Show how the vector `(3, 2)` could...
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High School Teacher
One pair is the standard basis that consists of the vectors `e_1=(1,0)` and `e_2=(0,1).` In this basis, `(3,2)=3e_1+2e_2.`
Another pair that spans `RR^2` is `b_1=(3,2)` and `b_2=(1,1).` They do indeed span `RR^2` because neither is a multiple of the other. In this basis, `(3,2)=1b_1+0b_2.`
Posted by degeneratecircle on June 10, 2013 at 11:37 PM (Answer #1)
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