Answer to Question #3237 in Matrix | Tensor Analysis for C Nelson

Question #3237
The transition matrix shows the percentage of car owners who will switch for their next purchase: NA JAP GER OTH NA .55 .20 .15 .10 JAP .20 .60 .10 .10 GER .35 .10 .45 .10 OTH .20 .30 .10 .40 If the present ownership in Toronto is: NA - 50 000 JAP - 20 000 GER - 17000 OTH - 12000 What will the members be: a) next year b) In two years?
Expert's answer
Let A =
.55 .20 .15 .10
.20 .60 .10 .10
.35 .10 .45 .10
.20 .30 .10 .40

be the transition matrix and

B =
50000
20000
17000
12000

be the vector of present ownership.
Then the vector of members in next year can be calculated as a product of matrix A
to the vector B:

A * B =
35250
24900
28350
22500

and the vector of members in two years is

A*A*B =
30870
27075
29835
26355

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS
paypal