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Math Help - solving the matrix equation

  1. #1
    Newbie
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    solving the matrix equation

    Let A =
    1 1
    0 1
    and B =
    0 -1
    1 0

    Solve the following matrix equation for X:
    (BA)X^T =
    1 0
    -1 1

    I'm sorry those are suposed to be matrixes. So I know that first I have to find BA which is
    0 -1
    1 1
    Then I know that X^T times BA is
    1 0
    -1 1
    And after that I'm stuck(
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  2. #2
    MHF Contributor

    Joined
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    Quote Originally Posted by anna123456 View Post
    Let A =
    1 1
    0 1
    A= \begin{bmatrix}1 & 1 \\ 0 & 1\end{bmatrix}

    and B =
    0 -1
    1 0
    B= \begin{bmatrix}0 & -1 \\ 1 & 0\end{bmatrix}

    Click on those to see the code I used.

    Solve the following matrix equation for X:
    (BA)X^T =
    1 0
    -1 1
    (BA)X^T= \begin{bmatrix}1 & 0 \\ -1 & 1\end{bmatrix}.


    I'm sorry those are suposed to be matrixes. So I know that first I have to find BA which is
    0 -1
    1 1

    Then I know that X^T times BA is
    1 0
    -1 1
    And after that I'm stuck(
    If Ax= C then x= A^{-1}C. Since you have already found BA, find its inverse and multiply by \begin{bmatrix}1 & 0 \\ -1 & 1\end{bmatrix}.
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  3. #3
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    thank you!
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