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Apr 20th, 2018
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  1. W is the subspace of R^3 spanned by u_1 and u_2:
  2.  
  3. u_1 = (3, -1, 2), u_2 = (4, -2, 0)
  4.  
  5. v_1 = u_1
  6.  
  7. v_2 = u_2 - <u_2, u_1>/<u_1, u_1> * u_1
  8.  
  9. v_2 = (4, -2, 0) - 18/14 (3, -1, 2) = (4, -2, 0) - (27/7, -9/7, 18/7)
  10.  
  11. v_2 = (1/7, -5/7, -18/7)
  12.  
  13. <v_1, v_2> = 3/7 + 5/7 - 36/7 =/= 0
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