# linear system

• Apr 28th 2008, 07:51 AM
federer
linear system
A diet calls for 2 units of fat, 3 units of protein, and 5 units of carbohydrate for a meal.

Suppose food 1 has in each cupful: 10 units of fat, 1 unit of protein, and 2 units of carbohydrates.

Suppose food 2 has in each cupful: 1 unit of fat, 5 units of protein, and 4 units of carbohydrates.

Suppose food 3 has in each cupful: 1 units of fat, 2 units of protein, and 6 units of carbohydrates.

Write down a linear system in three variables, whose solution will tell us how to make up a meal out of foods 1, 2 and 3. Say what the three variables represent.

*how do u solve this?
please show workings so i can understand
• Apr 28th 2008, 11:12 AM
Moo
Hello,

If you translate the text into :

$\displaystyle A_1=\begin{pmatrix} 10 \\ 1 \\ 2 \end{pmatrix} \begin{pmatrix} f & p & c \end{pmatrix}$

Does it help ?

(I'm not sure I've understood correctly the text, so I only give it a try)
• Apr 28th 2008, 01:34 PM
sekm
looool
Hey man your doing 108 too? I came on here to ask some questions about rules of matrices, not to post the actual questions lol. Anyway you should just get out the algebra book from short loan library, then look at the answer to Ex2.1 Q27, it's pretty much exactly the same, you just have to put in the values of the question.