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    Prove that the Kernel of a homomorphism is a subspace.

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    Prove that the Kernel of a homomorphism is a subspace.

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    Modern Algebra
    Vector Spaces and Modules (III)
    Homomorphism of two vector spaces
    Kernel of a homomorphism

    By:- Thokchom Sarojkumar Sinha

    Prove that the Kernel of a homomorphism is a subspace.

    Solution:- Let be a homomorphism of into where and are vector spaces over the field .
    We have to prove that
    Ker is a subspace ...

    Solution Summary

    This solution is comprised of a detailed explanation of the Kernel of a homomorphism.
    It contains step-by-step explanation to prove that the Kernel of a homomorphism is a subspace.
    Notes are also given at the end.

    Solution contains detailed step-by-step explanation.

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