Kunze Linear Algebra · Problem 7.1.3

Rational and Jordan Forms

Mathematics — Methods · cyclic-subspaces-annihilators

Problem

Let TT be the linear operator on C3C^3 which is represented in the standard ordered basis by the matrix [1i0−12−i011].\begin{bmatrix} 1 & i & 0 \\ -1 & 2 & -i \\ 0 & 1 & 1 \end{bmatrix}. Find the TT-annihilator of the vector (1,0,0)(1, 0, 0). Find the TT-annihilator of (1,0,i)(1, 0, i).

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