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Express vector as basis

  1. Mar 17, 2014 #1

    939

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    1. The problem statement, all variables and given/known data

    Given the basis vector:

    e1 = 1 0 0 0
    e2 = 0 1 0 0
    e3 = 0 0 1 0
    e4 = 0 0 0 1

    Express the following vector in terms of the basis:

    y = 3 1 2 5

    2. Relevant equations

    e1 = 1 0 0 0
    e2 = 0 1 0 0
    e3 = 0 0 1 0
    e4 = 0 0 0 1

    y = 3 1 2 5

    3. The attempt at a solution

    = 3(e1) + 0.5(e2) + 2(e3) + 5(e4)
     
  2. jcsd
  3. Mar 17, 2014 #2

    LCKurtz

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    Why the .5?
     
  4. Mar 17, 2014 #3
    Yeah, what he said ^^
     
  5. Mar 18, 2014 #4

    HallsofIvy

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    (3, 1, 2, 5)= (3, 0, 0, 0)+ (0, 1, 0, 0)+ (0, 0, 2, 0)+ (0, 0, 0, 5)
    = 3(1, 0, 0, 0)+ 1(0, 1, 0, 0)+ 2(0, 0, 1, 0)+ 5(0, 0, 0, 1)
    = 3e1+ 1e2+ 2e3+ 5e4
     
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