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zepdrix

  • one year ago

Linear Algebra - Linear Transformations

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  1. zepdrix
    • one year ago
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    The table shows the amount (in g) of protein, carbohydrate, and fat supplied by one unit (100g) of three different foods.

  2. zepdrix
    • one year ago
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    |dw:1363858488420:dw|

  3. zepdrix
    • one year ago
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    Betty would like to prepare a meal using some combination of these three foods. She would like the meal to contain 15g of protein, 25g of carbohydrate, and 3g of fat. How many units of each food should she use so that the meal will contain the desired amounts of protein, carbohydrate, and fat?

  4. zepdrix
    • one year ago
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    I can't seem to remember how to approach this. I think it has something to do with linear transformation. hmm

  5. rosho
    • one year ago
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    you could probably do this on a graphing calc.

  6. rosho
    • one year ago
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    or you could treat each one food as x,y,and z and solve for each.

  7. zepdrix
    • one year ago
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    Yah I might have to resort to that. These matrices are really confusing me. Maybe I'll just rewrite it as a system of equations and figure it out that way. :p

  8. rosho
    • one year ago
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    much easier that way i think.

  9. zepdrix
    • one year ago
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    \[\large 15x_1+35x_2+25x_3=15\]\[\large 45x_1+30x_2+50x_3=25\]\[\large 6x_1+4x_2+x^3=3\] Oh ok I think I'm understanding.. Maybe I'm just suppose to treat this as an augmented matrix, and then I can throw it into my calculator. \[\large \left(\begin{array}{ccc|c}15&35&25&15\\45&30&50&25\\6&4&1&3\end{array}\right)\]

  10. zepdrix
    • one year ago
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    Hmm yah it's giving me one of the multiple choices, cool. :o

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