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Math Help - seeking matlab mathod for solving it

  1. #1
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    seeking matlab mathod for solving it

    Hi all,

    I am wondering to know whether or not the following system of equations can be solved by matlab? If yes, could you please tell me how?

     A_1 X_1 = B_1 Y ; \\\\\\\<br />
          A_2 X_2 = B_2 Y ;<br /> <br />

    The matrices  A_1, A_2,B_1, B_2 are 4 by 4 matrices. while the matrices  X_1,X_2,Y (unknown variables) are 4 by 1

    I forgot to add this before : "The matrices X_1 and X_2 are made up of four variables of which the last three are same. The first one is different. and it is having a relation . The first variable in X_1 is say 'x_0' then the first variable in X_2 is [2-'x_0']"
    I think : First solve for Y(dont know how) in the first equation and put it in the second equation.

    Please help me how to solve the problem using matrix technique in the matlab
    Last edited by kurapati; July 22nd 2009 at 05:46 AM. Reason: Additional details
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  2. #2
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    These equations don't have a specific solution do they ?
    What you have here are eight equations (when you equate components in the two matrix equations) in twelve unknowns, (the components of the unknowns  X1, X2, \mbox{ and } Y ).
    It looks like you need another matrix equation or to be content with a solution containing four parameters.
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by kurapati View Post
    Hi all,

    I am wondering to know whether or not the following system of equations can be solved by matlab? If yes, could you please tell me how?

     A_1 X_1 = B_1 Y ; \\\\\\\<br />
A_2 X_2 = B_2 Y ;<br /> <br />

    The matrices  A_1, A_2,B_1, B_2 are 4 by 4 matrices. while the matrices  X_1,X_2,Y (unknown variables) are 4 by 1

    I forgot to add this before : "The matrices X_1 and X_2 are made up of four variables of which the last three are same. The first one is different. and it is having a relation . The first variable in X_1 is say 'x_0' then the first variable in X_2 is [2-'x_0']"
    I think : First solve for Y(dont know how) in the first equation and put it in the second equation.

    Please help me how to solve the problem using matrix technique in the matlab
    There is no unique solution (at least for non-singular A_1 and B_2) since if we choose any vector for X_2 we have:

    Y=B_2^{-1}A_2X_2

    and so:

    X_1=A_1^{-1}B_1B_2^{-1}A_2X_2

    CB
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  4. #4
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    Thanks for the replies.
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