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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.

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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