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anonymous

  • 4 years ago

Find the linear combination of the vectors

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  1. anonymous
    • 4 years ago
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    question #50

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  2. amistre64
    • 4 years ago
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    augment and rref

  3. anonymous
    • 4 years ago
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    ya but it is becoming an ugly anser

  4. amistre64
    • 4 years ago
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    |its spose to, these things are never pretty :)

  5. amistre64
    • 4 years ago
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    can you type up the first one for me, i have trouble trying to switch back and forth and keep things in order

  6. amistre64
    • 4 years ago
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    A:= u1 u2 u3 Ax = v x = A-1 v = | A | v|

  7. anonymous
    • 4 years ago
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    what do u mean?

  8. amistre64
    • 4 years ago
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    give me the u1 u2 u3 and v so that i can work with them; or else im sure to botch it up between switching back and forth from here to there

  9. anonymous
    • 4 years ago
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    ok will do

  10. anonymous
    • 4 years ago
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    u1= (1,3,2,1) u2=(2,-2,-5,4) u3= (2,-1,3,6) v= (2,5,-4,0)

  11. amistre64
    • 4 years ago
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    \[\begin{pmatrix}u_1&u_2&u_3\\1&2&2\\3&-2&-1\\2&-5&3\\1&4&6\\\end{pmatrix}\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=\begin{pmatrix}v\\2\\5\\-4\\0\end{pmatrix}\] \[\begin{pmatrix}x\\x_1\\x_2\\x_3\\x_4\end{pmatrix}=RREF\begin{pmatrix}u_1&u_2&u_3&|&v\\1&2&2&|&2\\3&-2&-1&|&5\\2&-5&3&|&-4\\1&4&6&|&0\\\end{pmatrix}\]

  12. amistre64
    • 4 years ago
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    thats what I mean; but wolfram make light work of it :)

  13. anonymous
    • 4 years ago
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    ummm y did you add the the u1 u2 and u3 ontop?

  14. anonymous
    • 4 years ago
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    Is that part of the matrix

  15. amistre64
    • 4 years ago
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    just to clairify what was what; its not part of the actual process tho, just references

  16. anonymous
    • 4 years ago
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    ohhhh ok i see

  17. anonymous
    • 4 years ago
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    Thanks amistre :D

  18. anonymous
    • 4 years ago
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    LOL u were born in the same yr as my mom LOL

  19. amistre64
    • 4 years ago
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    and my x vector is one component to many :)

  20. amistre64
    • 4 years ago
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    what year was I born :)

  21. anonymous
    • 4 years ago
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    1964

  22. amistre64
    • 4 years ago
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    nope .... thats just an old aol thing thats stuck with me thru the years :)

  23. anonymous
    • 4 years ago
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    hehe

  24. amistre64
    • 4 years ago
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    so, according to the rref on the wolf: x = <2,1,-1>

  25. anonymous
    • 4 years ago
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    yup i see thanks amistre

  26. amistre64
    • 4 years ago
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    youre welcome; and i was born in 1972 ;) or so ive been led to believe

  27. anonymous
    • 4 years ago
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    hehe so you are not much younger than my mom :D

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