The characteristic equation of the matrix is A³ - 12A-160. The reduction of the following matrix expression A5 - 144³-164² +264 +351 using Cayley Hamilton theorem is cA+KI, so the constants c and k are.. a. -2, -3 O a. O b. None of them O C. -2,1 O d. 4,3 O e. 2,3

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 6E
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The characteristic equation of the matrix is A³ - 12A-16= 0. The reduction of the following
matrix expression A5 - 144³-164² +264 + 351 using Cayley Hamilton theorem is cA+KI, so
the constants c and k are..
a. -2, -3
O a.
O b. None of them
O C.
-2,1
O d. 4,3
O e.
2,3
Transcribed Image Text:The characteristic equation of the matrix is A³ - 12A-16= 0. The reduction of the following matrix expression A5 - 144³-164² +264 + 351 using Cayley Hamilton theorem is cA+KI, so the constants c and k are.. a. -2, -3 O a. O b. None of them O C. -2,1 O d. 4,3 O e. 2,3
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