b) Let& UTM 8 UTM 55 UTM 8 UTM 676-35 UTM E UTM 5UIM 16/TM 8 UTMi) Determine the smallest magnitude or largest magnitude eigen value of opposite sign of-6-12& UTM 5 UTA and its associated eigenvector by the shifted power method with shifting factor p =A1=4. Start your iteration with v0) = [ 1 1 0]T and stop the iteration when | mk+1 – mkUTM &UTM & UTM|<0.5.UTM & UTUTM 6 UTM11) Prove that your answer in (i) is correct.i11) Find the third eigen value of A& UTM 8 UTMUT5 UTM & UTM 5 UTMTM5 UTMTM UTM UTMTM UTM UTMTM 5 UTMTM 5 UT

b) Let & UTM 5 UTM 5 UTM 8 UTM 7 A =|-12 UTM -31 UTM i) Determine the smallest magnitude or largest magnitude eigen value of opposite sign of -20 5 UTM E UTM -6 24 & UTM 5 UT A and its associated eigenvector by the shifted power method with shifting factor p = -12 UIM 16/TM 8 UTM A1=4. Start your iteration with v0) = [11 0] and stop the iteration when | mk+1 – mk UTM & UTM & UTM |<0.5. 6 UTM 6 UTM 11) Prove that your answer in (i) is correct. iii) Find the third eigen value of A 5 UTM 5 UTM 5 UTM & UTM5 UTM TM UT TM & UTM TM & UTM TM 5 UTM

b) Let & UTM 5 UTM 5 UTM 8 UTM 7 A =|-12 UTM -31 UTM i) Determine the smallest magnitude or largest magnitude eigen value of opposite sign of -20 5 UTM E UTM -6 24 & UTM 5 UT A and its associated eigenvector by the shifted power method with shifting factor p = -12 UIM 16/TM 8 UTM A1=4. Start your iteration with v0) = [11 0] and stop the iteration when | mk+1 – mk UTM & UTM & UTM |<0.5. 6 UTM 6 UTM 11) Prove that your answer in (i) is correct. iii) Find the third eigen value of A 5 UTM 5 UTM 5 UTM & UTM5 UTM TM UT TM & UTM TM & UTM TM 5 UTM

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

b) Let
& UTM 8 UTM 5
5 UTM 8 UTM 6
7
6
-3
5 UTM E UTM 5
UIM 16/TM 8 UTM
i) Determine the smallest magnitude or largest magnitude eigen value of opposite sign of
-6
-12
& UTM 5 UT
A and its associated eigenvector by the shifted power method with shifting factor p =
A1=4. Start your iteration with v0) = [ 1 1 0]T and stop the iteration when | mk+1 – mk
UTM &UTM & UTM
|<0.5.
UTM & UT
UTM 6 UTM
11) Prove that your answer in (i) is correct.
i11) Find the third eigen value of A
& UTM 8 UTM
UT
5 UTM & UTM 5 UTM
TM
5 UTM
TM UTM UTM
TM UTM UTM
TM 5 UTM
TM 5 UT

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