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
Related questions
Topic Video
Question
![For a transition matrix for a problem about people migrating from one region to
another,
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 than
1.
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.
%3D
b) If A and
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).
Both c) and d).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2849c583-4206-4dc7-8bea-7d6ce6664227%2F65ca874f-a1a7-4fae-8565-2fcff4ec6ec5%2Fo8jfsmq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For a transition matrix for a problem about people migrating from one region to
another,
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 than
1.
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.
%3D
b) If A and
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).
Both c) and d).
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