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Unformatted text preview: , 0) + β (0 , , 1 ,3) . De±ne vectors F 1 = (1 , , 2 , 0) and F 2 = (0 , , 1 ,3) . The span the subspace, and they are linearly independent (because the linear combination above can only be made zero by taking α = β = 0. Therefore, F 1 and F 2 are a basis. (b) The dimension is 2. (c) cos θ = ( F 1 · F 2 )  F 1  F 2  = 2 √ 5 √ 10 . 1...
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This note was uploaded on 01/12/2010 for the course MATH 421 taught by Professor Nataliakomarova during the Winter '07 term at San Jose State University .
 Winter '07
 nataliakomarova
 Fractions

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