Augmented Matrices

Discussion in 'General Discussion' started by Rufio, Mar 12, 2006.

  1. Rufio

    Rufio Well-Known Member

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    If anyone can solve this, I'll give them 50 creds. First person to get it right gets the creds. You have to use an augmented matrix to solve it though. And if you show your work ill give you an extra 50 creds.

    2a + 3b + 4c + 5d = 4
    4b + 3c - d = 1
    3a + b - 2c + 7d = -7
    a - 2b + 3d = 2

    good luck

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    no takers?
     
  2. Broken

    Broken Well-Known Member

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    Erk.
    I'll give it a shot
     
  3. Rufio

    Rufio Well-Known Member

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    alrighty thanks
     
  4. Daz

    Daz Well-Known Member

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    you shouldn't have to use any matrices to solve the equation, though it does make it a little easier...if no one attempts this soon will slve for you.

    :P Daz
     
  5. Rufio

    Rufio Well-Known Member

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    If I had my the choice, I would use elimination ur substitution, but we HAVE to use matrices
     
  6. Red Alert

    Red Alert Senior Member

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    is the algerbra 2 math? I never even heard of augmented matrix when I was in high school but that was a long time ago
     
  7. Rufio

    Rufio Well-Known Member

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    yeah its algebra 2
     
  8. Rufio

    Rufio Well-Known Member

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    bllehhh i need it done soon
     
  9. DefaultVoid

    DefaultVoid Well-Known Member

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    2a + 3b + 4c + 5d = 4
    4b + 3c - d = 1
    3a + b - 2c + 7d = -7
    a - 2b + 3d = 2
    --------------------------------------------------
    a = 2b + 3d + 2
    b = 2c -7d - 3a - 7
    d = 4b + 3c -1

    Solve from there... I'm not gonna totally help you do your hw :)

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    a = -11.603...
    b= .43396...
    c=1.1981132
    d=4.24528...
    Gimme 50 credits
     
  10. Daz

    Daz Well-Known Member

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    erm dude u are going to need them at least in exact answers (p/q), thats substitution not matrices as well

    :P Daz

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    erm no calc...ur school is harse, not even my degree questions do that too me

    :P Daz
     
  11. Rufio

    Rufio Well-Known Member

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    yeah you used substitution AND the answer isnt going to have decimals
     
  12. Daz

    Daz Well-Known Member

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    Loading up maple...if I can remember how to progtam maple then I might post it up

    :P Daz

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    maple answers (checked first 2)
    a=-3, b=-1, c=2, d=1

    sorry haven't got the patience to write out row-echelon

    in argumentive matrice form (made up btw)

    1 0 0 0 | -3
    0 1 0 0 | -1
    0 0 1 0 | 2
    0 0 0 1 | 1

    there going to kind of want workings on how you got the above matrix though, you should be able to justify elimation, and pivotting (you can move the rows up and down at will),

    :P Daz
     
  13. Rufio

    Rufio Well-Known Member

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    ahh dude you are sexy

    sending creds

    is there anyway you can send me that program so i can show my work?
     
  14. Daz

    Daz Well-Known Member

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    the only code I used to solve was
    u:= expression;
    solve ([u,v,w,x],[a,b,c,d]);

    anyways tis free sent creds bk,

    :P Daz
     

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