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 ajk = i^(j+k) , (i^2 = −1). Find a basis for the null space of T* .

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.1: Orthogonality In Rn
Problem 34EQ
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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 ajk = i^(j+k) , (i^2 = −1). Find a basis for the null space of T* .
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