8. Let A be the matrix below. Solve x' = Ax. 4 2 A= 3 -1 a. X(t) = CS b. x(t)= Ces -"(7)-c0) + ()+ce" () d. 201=C(+6" 17

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8 Let A Be The Matrix Below Solve X Ax 4 2 A 3 1 A X T Cs B X T Ces 7 C0 Ce D 201 C 6 17 1 (58.5 KiB) Viewed 27 times

8. Let A be the matrix below. Solve x' = Ax. 4 2 A= 3 -1 a. X(t) = CS b. x(t)= Ces -"(7)-c0) + ()+ce" () d. 201=C(+6" 17 ")c 1)c=(i c. X(t) = Ce 1 . (t) + e. None of these 9. Let A be the matrix below. Find the eigenvalues. 4 -3 6 -2) a. 2 = -1 +3i, 12 = -1-3i b. 2 = -2+i, =-2-1 c.2=1+3i, i = 1-3i d. 2=2+i, h = 2-i e. None of these 2022, James West 10. Let A be the matrix below. Find the eigenvector v, associated with your choice for 2 in problem 8. 4 -3 A= 6 -2 a. . - 6-0 ( b. 0-0 < ()-(0 . (2-09 c. d. e. None of these 11. Let A be the matrix below. Find the eigenvector v, associated with your choice for 2, in problem 8. 4 -3 A= 6 -2 a. b. - (1)-0 b. (1)-0 (2)+10 (2-0) c. d. 0 e. None of these