Invariant Subspaces for a Linear Transformation on a Finite Dimensional Complex Vector Space


Invariant Subspaces for a Linear Transformation on a Finite Dimensional Complex Vector Space

Xu Feng, Cao Yong Lin

Xu Feng, Cao Yong Lin "Invariant Subspaces for a Linear Transformation on a Finite Dimensional Complex Vector Space" Published in International Journal of Trend in Research and Development (IJTRD), ISSN: 2394-9333, Volume-8 | Issue-6 , December 2021, URL: http://www.ijtrd.com/papers/IJTRD23921.pdf

In the process of advanced algebra teaching, we have learned the properties of the linear transformation on the linear space over the number field P. In this paper, we will investigated the linear transformation over a finite dimensional complex linear space , we also give out the number and expression of the invariant subspaces of respect to if every characteristic subspace of has dimension 1.

Complex Linear Space, Linear Transformation, Invariant Subspace, Generalized Characteristic Vector.


Volume-8 | Issue-6 , December 2021

2394-9333

IJTRD23921
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