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## Homework Statement

Let A = [1 0

4 2 ]

Let B be the eigenbasis {[1,4], [0,1]}.

--Find [T]B where T(x)=A(x).

## The Attempt at a Solution

Would [T]B = {[1,-1], [0,2]}?

We are trying to find [T]B, the matrix representation of T with respect to B. So would my answer be correct?

Thanks.