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Math Help - [SOLVED] Help solving multiple matrices simultaneously

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    [SOLVED] Help solving multiple matrices simultaneously

    14. Solve the systems in all parts simultaneously.

    A = B
    1 3 5 = b1
    -1 -2 0 = b2
    2 5 4 = b3

    a) b1=1, b2=0, b3=-1
    b) b1=0, b2=1, b3=1
    c) b1=-1, b2=-1, b3=0

    So the way my prof instructed us to solve this is to setup up the matrix with the a,b,c B columns on the right and reduce the matrix to identity format:

    1**: a)b1 : a)b2 : a)b3
    01*: b)b1 : b)b2 : b)b3
    001: c)b1 : c)b2 : c)b3

    I set it up like this

    1 3 5 : 1:0 :-1
    -1 -2 0 : 0:1 :-1
    2 5 4 :-1:1: 0

    I reduced the matrix to the identity matrix and here is my result

    1 3 5 : 1 : 0 :-1
    0 1 5 : 1 : 1 :-2
    0 0 1 : 2 :-2 : 4

    I think I got it all good except I'm not sure if there is more to do. Did I answer the question correctly?
    Last edited by thekrown; February 3rd 2010 at 10:28 AM.
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