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## Homework Statement

B

_{1}= {[1,2], [2,1]} is a basis for R

^{2}

B

_{2}= {[1,-1], [3,2]} is a basis for R

^{2}

Find the change of basis matrix from B

_{1}to B

_{2}

## Homework Equations

[B

_{2}| B

_{1}]

## The Attempt at a Solution

For some reason I can not solve this. I keep ending up with the matrix equaling

[-4/5 1/5

3/5 3/5]

Unfortunately this does not work.