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How do you solve equations like this when you can't find an inverse matrix? Watch

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    http://img254.imageshack.us/img254/1433/matrixp.png

    I'm guessing that since this is effectively a division by zero equivalent there are a set of solutions, but I don't know how you find them. How does one solve this equation?
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    There may be a more efficient way, but letting \mathbf{A} = \left( \begin{array}{cc} a & b \\ c & d \end{array} \right) investigating algebraically will yield a result.

    One should find:
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    Infinite set of solutions
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    |a b|=A
    |c d|

    then put in AB. Multiple and then equate stuff.

    Note, this will work because |AB|=0. If |AB| didn't equal 0 then you wouldn't be able to solve it. Well, I hope so because then that would mean the end of Mathematics.
 
 
 
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