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

1. 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?
2. There may be a more efficient way, but letting investigating algebraically will yield a result.

One should find:
Spoiler:
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Infinite set of solutions
3. |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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Updated: July 25, 2009
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