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anonymous

  • one year ago

I am confused on how to go about doing this. Linear algebra question for homework

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  1. anonymous
    • one year ago
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  2. misty1212
    • one year ago
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    HI!!

  3. anonymous
    • one year ago
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    Hello

  4. misty1212
    • one year ago
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    one way to do it would be to multiply the matrix on the right by the inverse of the matrix on the left

  5. misty1212
    • one year ago
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    \[AB=C\iff A=CB^{-1}\]

  6. anonymous
    • one year ago
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    oh ok

  7. anonymous
    • one year ago
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    let me try that i'll respond once I have done that

  8. misty1212
    • one year ago
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    inverse of a 2 by 2 matrix is easy to find right?

  9. anonymous
    • one year ago
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    yes

  10. misty1212
    • one year ago
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    \[\begin{pmatrix} x & y \\ z & v \end{pmatrix}^{-1}=\frac{1}{D}\begin{pmatrix} v & -y \\ -z & x \end{pmatrix} \]

  11. misty1212
    • one year ago
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    course you can always cheat too, not really necessary

  12. misty1212
    • one year ago
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    https://www.wolframalpha.com/input/?i=%7B%7B2%2C4%7D%2C%7B2%2C5%7D%7D%5E%28-1%29

  13. anonymous
    • one year ago
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    so the inverse would be \[\left[\begin{matrix}2.5 & -2 \\ -0.5 & 0.5\end{matrix}\right]\] right?

  14. anonymous
    • one year ago
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    or have i done it wrong?

  15. misty1212
    • one year ago
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    looks good

  16. misty1212
    • one year ago
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    oh no

  17. misty1212
    • one year ago
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    the -5 is wrong

  18. misty1212
    • one year ago
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    that should be -1

  19. anonymous
    • one year ago
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    -5?

  20. misty1212
    • one year ago
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    first get \[\begin{pmatrix} 5& -4 \\ -2 & 2 \end{pmatrix}\]

  21. misty1212
    • one year ago
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    the divide all by 2

  22. anonymous
    • one year ago
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    oh wait i know what u mean lol, that was my mistake

  23. anonymous
    • one year ago
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    i thought the 2 were 1s

  24. anonymous
    • one year ago
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    lol

  25. misty1212
    • one year ago
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    \[\begin{pmatrix} 2.5& -2 \\ -1 & 1 \end{pmatrix}\]

  26. misty1212
    • one year ago
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    i think that is right

  27. anonymous
    • one year ago
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    yes, that is, so now I just have to multiply that by the resultant in the question correct?

  28. misty1212
    • one year ago
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    should work i got this https://www.wolframalpha.com/input/?i=%7B%7B2%2C7%7D%2C%7B0%2C5%7D%7D.%7B%7B2.5%2C-2%7D%2C%7B-1%2C1%7D%7D

  29. anonymous
    • one year ago
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    ok, ill do it, and see if i got that on paper

  30. misty1212
    • one year ago
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    ok good luck!\[\color\magenta\heartsuit\]

  31. anonymous
    • one year ago
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    yup i got the same answer, Thank you so much for your help. :D

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