prove step by step that the kernel of a linear map A:V→W, denoted as Ker(A), is a linear subspace of V.
prove step by step that the kernel of a linear map A:V→W, denoted as Ker(A), is a linear subspace of V.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 41EQ
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prove step by step that the kernel of a linear map A:V→W, denoted as Ker(A), is a linear subspace of V.
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Thank you so much, could you perhaps elaborate the proofs a bit more, I understand it but somehow it doesnt make sense for me, if perhaps you could use the definitions to elaborate more i would be grateful.
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