Prove that the Kernel of a homomorphism is a subspace.© BrainMass Inc. brainmass.com March 4, 2021, 8:00 pm ad1c9bdddf
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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 ...
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.