please do b-d , tha 1. Prove each of the following results:(a) |z − w|=|w-2, Vw, z C(b) ||z|-|w|| ≤|zw, vw, z(c) 2 ≤ Re(2) ≤ 2, V₂ € C(d) e = e, Vze C.

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Answered: 1. Prove each of the following results:…

Linear Algebra: A Modern Introduction

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ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

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1. Prove each of the following results: (a) |zw|=|w-z, Vw, z EC (b) ||zw|≤|zw, w z (c) |z| ≤ Re(z) ≤ 2, VEC (d) e = e, Vze C.