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Homework Statement
The Attempt at a Solution
I don't really know how to do this, so I hope someone can give some hints or briefly tell me what I should do.
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I don't really know how to do this, so I hope someone can give some hints or briefly tell me what I should do.
Discussion
Science Advisor
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Well, a good start is to write
[tex]\left[\begin{array}{cc}a_{11} & a_{12} \\ a_{21} & a_{22}\end{array}\right]\left[\begin{array}{cc}1 & 0 \\ -1 & -1\end{array}\right]= \left[\begin{array}{cc}-1 & 0 \\ 1 & 1 \end{array}\right][/tex]
Multiply them out and get 4 equations relating a11, a12, a21, and a22. Are those equations independent? If not how many "independent" variables do you have (in other words, how many must you know in order to be able to calculate the others?).
[tex]\left[\begin{array}{cc}a_{11} & a_{12} \\ a_{21} & a_{22}\end{array}\right]\left[\begin{array}{cc}1 & 0 \\ -1 & -1\end{array}\right]= \left[\begin{array}{cc}-1 & 0 \\ 1 & 1 \end{array}\right][/tex]
Multiply them out and get 4 equations relating a11, a12, a21, and a22. Are those equations independent? If not how many "independent" variables do you have (in other words, how many must you know in order to be able to calculate the others?).