Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0] such that 2x2,= [1,0]. (ii) find a complex number z = [re] such that zxz,= [1,0]. (d) for any complex number [r, 0] show that ax[r.]-[10] (r>0).
Given that z, = [3, 0.7], 2₁ = [2,1.2] and z, = [4,-0.5], (c) (i) find a complex number z = [r, 0] such that 2x2,= [1,0]. (ii) find a complex number z = [re] such that zxz,= [1,0]. (d) for any complex number [r, 0] show that ax[r.]-[10] (r>0).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Given that z, -[3,0.7], 2₁ = [2,1.2] and 2, = [4,-0.5],
(c) (i) find a complex number z = [r,0] such that
zxz,-[1,0].
(ii) find a complex number z = [r, 0] such that
zxz,- [1,0].
=
(d) for any complex number [r, e] show that
|-|-|(20)+(20)
x[r, 0]= [1,0] (r> 0).
r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9fa81a4-f9c7-4bf7-9bd4-f46ae29cb31d%2Fdb1eb5c3-26c0-4c93-91d4-a4fd2dd9c5cb%2Fm16j0w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given that z, -[3,0.7], 2₁ = [2,1.2] and 2, = [4,-0.5],
(c) (i) find a complex number z = [r,0] such that
zxz,-[1,0].
(ii) find a complex number z = [r, 0] such that
zxz,- [1,0].
=
(d) for any complex number [r, e] show that
|-|-|(20)+(20)
x[r, 0]= [1,0] (r> 0).
r
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