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Homework Help: Linear algebra

  1. Mar 23, 2010 #1
    1. The problem statement, all variables and given/known data
    The vectors x1 = (1,1,1), x2=(1,1,-1), x3= (1, -1, -1) form a basis of C3. If {y1, y2, y3} is the dual basis, and if x= (0,1,0), find [x,y1], [x,y2]] and [x,y3].

    2. Relevant equations

    3. The attempt at a solution
    Ok, first I know that y1= (1,1,1), y2= (1,1,-1) and y3= (1,-1,-1)
    And x can be written as a linear combination of x1, x2 and x3
    x = 0*x1+(1/2)*x2+ (-1/2)*x3
    So would [x,y1] =y1(x)= y1(0*x1+(1/2)*x2+(-1/2)*x3) ?
  2. jcsd
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