Linear Algebra Done Right · Problem 7A.1

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · adjoints

Problem

Suppose nn is a positive integer. Define T∈L(Fn)T \in \mathcal{L}(\mathbf{F}^n) by T(z1,…,zn)=(0,z1,…,zn−1).T(z_1, \ldots, z_n) = (0, z_1, \ldots, z_{n-1}). Find a formula for T∗(z1,…,zn)T^*(z_1, \ldots, z_n).

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