(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T be the linear transformation T=[1, 3, 2, 6] (the matrix has 1 and 3 on the top row and 2 and 6 on the bottom row) relative to the standard basis

Find the matrix relative to the basis B= {(1, 2), (-3, 1)}

2. Relevant equations

3. The attempt at a solution

So what I did was apply the basis vector 1 to the matrix and then apply the basis vector 2 to the matrix again and got (7, 14) and (0, 0) but I don't know where to go from here, what do I do with these 2 vectors?

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# Homework Help: Switching Matrix Bases

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