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Show that if A and B .. re similar matrices. then A' and B' are similar for any positive

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill ISBN: 9780132296540 301

Solution for problem 6 Chapter 6.5

Elementary Linear Algebra with Applications | 9th Edition

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Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

Elementary Linear Algebra with Applications | 9th Edition

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Problem 6

Show that if A and B .. re similar matrices. then A' and B' are similar for any positive integer k. (Hi.~I: If B = p - IAP. find Bl = B B. and soon.)

Step-by-Step Solution:
Step 1 of 3

*"1 ilrr*r[rywK 1\; /ll*stqiravdv ,*''Jrr%l ,ffi r.'*9x* C] d: rSSx dl t, *sit*{X Ue*-- (rex)dx f)$s ros {l&}fu ' $:,n+("rex)*infltu}d^ =}k.n'{,r"IJl,n =[[l-rorz {te,h}k,,r(lzrHx {r=.a:adtzx} .rJa*. l*,:inft2dhr -$ Yr-rr*1!u, -*.$rr*&f+,,ra}&, . *#,,t * .$ *3 r#*r5*{.-,* , ,f; , .-) rD:1rz*\** ro*3(12x) -f'o.,-,.5[tz*1*1 z r tlsi**,x .2I*J, + {-e:HL 3), Trrdaxdr / ax 7$ = \$rlv * tsroazxdx =ffi 1) tk = [o.;#x{r -s,n2x\ro:xdx rl::irtx Zqt 4-\0,,"\ ro#xdu = Ior r#x(l -sin'xV(sinv\ d*-/rkrnr) ,So, r+(\ -urHu = $A f-Aor,l; u * l*.ff*[0a *c * - *A*r,{4} Kotrv* [0:;,7 {: rlfi-:in'* dt =Itro**txt " . --t- [r\$tnSxv r1xdx * $,ra*, i6rl'*d rt:tannsx A,t*S:acSx ffi z\ $:p.6( r {ar*rlv k, *{u {*er5x lor,rhh.I* = rhrt rflx .Ir\

Step 2 of 3

Chapter 6.5, Problem 6 is Solved
Step 3 of 3

Textbook: Elementary Linear Algebra with Applications
Edition: 9
Author: Bernard Kolman David Hill
ISBN: 9780132296540

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Show that if A and B .. re similar matrices. then A' and B' are similar for any positive