For a transition matrix for a problem about people migrating from one region toanother,O the columns will sum to 1 if there are no new people added to the system.if the number of people increase both rows and columns must sum to more than1.O either the rows always sum to 1 or the columns always sum to 1 but not both.the rows will sum to 1 when the populations increase linearly.Question 5 ( ,Find the answer that selects all the true statements about trace.a) If A = then tr(A) = 16.%3Db) If A andconform for multiplication in either order, then tr(AB)= tr(BA).c) If C conforms with A for multiplication CA,and A and B have the same dimensions, then tr(C(A + B)) = tr(C)tr(A)+ tr(B)tr(C).d) If A and B conform for multiplication AB and C have the same dimensions as AB then tr(AB + C= tr(A)tr(B) + tr(C).Both c) and d).

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Description: For a transition matrix for a problem about people migrating from one region toanother,O the columns will sum to 1 if there are no new people added to the system.if the number of people increase both rows and columns must sum to more than1.O either

5. (a) Trace is the sum of elements on the principal diagonal tr(A)=5 Therefore, it is FALSE (b)…

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a) If A = then tr(A) = 16. b) If A and B conform for multiplication in either order, then tr(AB) = tr(BA). c) If C conforms with A for multiplication CA, and A and B have the same dimensions, then tr(C(A + B)) = tr(C)tr(A) + tr(B)tr(C). d) If A and B conform for multiplication AB and C have the same dimensions as AB then tr(AB + C = tr(A)tr(B) + tr(C).

a) If A = then tr(A) = 16. b) If A and B conform for multiplication in either order, then tr(AB) = tr(BA). c) If C conforms with A for multiplication CA, and A and B have the same dimensions, then tr(C(A + B)) = tr(C)tr(A) + tr(B)tr(C). d) If A and B conform for multiplication AB and C have the same dimensions as AB then tr(AB + C = tr(A)tr(B) + tr(C).

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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