Two Proofs for Direct Sum Decomposition Theorem of a Linear Space

YU Hou-yi , WANG Zheng-pan

doi:10.13718/j.cnki.xsxb.2015.04.001

Journal of Southwest China Normal University(Natural Science Edition)

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2015 Volume 40 Issue 4

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YU Hou-yi , WANG Zheng-pan. Two Proofs for Direct Sum Decomposition Theorem of a Linear Space[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.001

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YU Hou-yi , WANG Zheng-pan. Two Proofs for Direct Sum Decomposition Theorem of a Linear Space[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(4). doi: 10.13718/j.cnki.xsxb.2015.04.001

Two Proofs for Direct Sum Decomposition Theorem of a Linear Space

YU Hou-yi , WANG Zheng-pan

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Abstract

The direct sum decomposition theorem of a linear space is a classical result about linear transfor‐mation in linear algebra ,two new proofs for this theorem are given by means of mathematical induction and by generalizing an exercise in linear algebra ,respectively .
- linear space，direct sum decomposition，mathematical induction,
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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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