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## Homework Statement

Let ##V=\mathbb{C}_2## with the standard inner product. Let T be the linear transformation deined by ##T<1,0>=<1,-2>##, ##T<0,1>=<i,-1>##. Find ##T^*<x_1,x_2>##.

## Homework Equations

## The Attempt at a Solution

Find the matrix of T and then take the conjugate transpose....

This seems like an uncharacteristically easy problem and I'm wondering if I'm missing something.