In the Gauss plane, the set: {z € C: 12 +1 +il <√2, Rez+ Im z >0} a) is a half-plane how I solved it z: a+ib latib+1+il <√2 b) is a disk a) contains one point only d) is emply e) contains the half-line of positive real numbers an-y √(a +1²+i(6+1)² <√2 (a + 1)² + (b+1)²³ < 2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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That’s how I solved it but I don’t know which option to choose and why could you please explain to me
In the Gauss plane, the set: {z € C:/z+1+il<√£, Rez+ Im z >0}
a) is a half-plane
how I solved it
z: at ib
latib +1+il <√2
√(a+1²+i(b+1² <√2
(a+1)² + (b+1)² < 2
b) is a disk
a) contains one point only
d) is empty
e contains the half-line of positive real numbers
an-y
INI
Transcribed Image Text:In the Gauss plane, the set: {z € C:/z+1+il<√£, Rez+ Im z >0} a) is a half-plane how I solved it z: at ib latib +1+il <√2 √(a+1²+i(b+1² <√2 (a+1)² + (b+1)² < 2 b) is a disk a) contains one point only d) is empty e contains the half-line of positive real numbers an-y INI
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