Sunday, January 3, 2010

Real life uses of matrices

First Sorry it took so long to post
now this one may seem a little hard at first but try to solve it before looking at the solution cause it's actually very easy:
we want to obtain at the end 10 L of gasoline containing 2% additive (which means 98% gasoline)
we have these 3 types of gasoline:
1_gasoline without additive
2_gasoline with 5% additive
3_gasoline with 6% additive
And finally we need to use 4 times as much pure gasoline as 5% additive gasoline.
so how much of each type is needed?
you should get :6.4L of 1 1.6L of 2 2L of 3
Given up?
the solution is too big to post here so u can look at this website and press on "ANSWER":
http://www.intmath.com/Matrices-determinants/6_Matrices-linear-equations.php


Peter Dagher

3 comments:

  1. nice problem 2 solve ...
    (link)2e27em

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  2. hello,
    Intresting problem you got there, I found also that the behaviour of many electronic components can be described using matrices by putting the input and output voltage and intensity into two 2*2 matrices and it will be reduced to multiplying matrices.For more details follow this website : http://en.wikipedia.org/wiki/Matrix_(mathematics)#Other_historical_usages_of_the_word_.22matrix.22_in_mathematics.
    Thank you and good luck,

    Jean-Pierre Assaker

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