can you type it for me? please

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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its an asnwer but i cant read handwritten . can you type it for me? please

(A?+ A + I) = 0
A e Ma (R)
and
To sheno
+ A+ I)
Preof
A+A +I)
ニ
t.
polynomial în A
A E M3 (R)
This ů
with clegree 16
Now,
> degree of charo:teristic polynonuial = 8
う
porymionuial = 8
But ginen that
fies the polymomial
8.
(x*+ x+
. Minimal polynomial will aither be
egual to the 'cha ractenistic or
charactesistic polynomial.
polynomial
2 tuie is a general
a factor of
2 since
(x²+ x+ 1) = 0
* polynomial which is cotiffied by.
A and polymomial does not hahe zero dinios
(x"+ x +1)
30 & this s alio
polymomial which cis
* (A*+ A +I)
codkeyed by A
4
ニ0
Transcribed Image Text:(A?+ A + I) = 0 A e Ma (R) and To sheno + A+ I) Preof A+A +I) ニ t. polynomial în A A E M3 (R) This ů with clegree 16 Now, > degree of charo:teristic polynonuial = 8 う porymionuial = 8 But ginen that fies the polymomial 8. (x*+ x+ . Minimal polynomial will aither be egual to the 'cha ractenistic or charactesistic polynomial. polynomial 2 tuie is a general a factor of 2 since (x²+ x+ 1) = 0 * polynomial which is cotiffied by. A and polymomial does not hahe zero dinios (x"+ x +1) 30 & this s alio polymomial which cis * (A*+ A +I) codkeyed by A 4 ニ0
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