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## Homework Statement

Let A

_{mn}be a matrix representation of some operator A in the basis |φ

_{n}> and let U

_{nj}be a unitary operator that changes the basis |φ

_{n}> to a new basis |ψ

_{j}>. I am asked to write down the matrix representation of A in the new basis.

## Homework Equations

## The Attempt at a Solution

Should I try to evaluate <m|U

_{nj}A|n>? Is that how this should be approached?

I know that U

_{nj}|φ

_{n}>=|ψ

_{j}>.