Kunze Linear Algebra · Problem 8.3.3

Inner Product Spaces

Mathematics — Methods · adjoints-null-space

Problem

Let

V

C^3

with the standard inner product. Let

T

be the linear operator on

V

whose matrix in the standard ordered basis is defined by

A_{jk} = i^{j+k}, \quad (i^2 = -1).

Find a basis for the null space of

T^*