1 0 20 2 020 1I is the 3 x 3 identity matrix, working over Z,.13. Consider M =Use the Cayley Hamilton theorem to find (M +41)-1 where(a) 4M? + 3M + I(b) М? + 3М + 21(c) M? + M + I(d) ЗM? + 4M+1(e) M² + 2M + 31

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1 0 2 0 2 0 20 1 I is the 3 x 3 identity matrix, working over Z5. 13. Consider M : Use the Cayley Hamilton theorem to find (M +41)-1 where (а) 4M2 + 3М +1 (b) М? + 3М + 21 (с) М2 + М+I (а) зM? + 4M +1 (е) М? + 2M + 31

1 0 2 0 2 0 20 1 I is the 3 x 3 identity matrix, working over Z5. 13. Consider M : Use the Cayley Hamilton theorem to find (M +41)-1 where (а) 4M2 + 3М +1 (b) М? + 3М + 21 (с) М2 + М+I (а) зM? + 4M +1 (е) М? + 2M + 31

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.8: Determinants

Problem 34E

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Question

1 0 2
0 2 0
20 1
I is the 3 x 3 identity matrix, working over Z,.
13. Consider M =
Use the Cayley Hamilton theorem to find (M +41)-1 where
(a) 4M? + 3M + I
(b) М? + 3М + 21
(c) M? + M + I
(d) ЗM? + 4M+1
(e) M² + 2M + 31

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