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## Homework Statement

Show that there are no 2 x 2 matrices A and B such that

AB - BA =

[tex]

\left( \begin{array}{cc}

1 & 0\\

0 & 1 \end{array} \right)

[/tex]

## Homework Equations

The matrix is the 2 x 2 identity matrix.

## The Attempt at a Solution

I tried to use variables such as a(1 1) a(1 2)... and then I did the multiplication and subtraction. When I set each entry equal to the entries in the identity matrix, I ended up with so many variables that I didn't know what do with all of them. None of them seemed to match up or eliminate. Is there an easier way to do this?