Consider the following matrix. P = 0.1 0.1 0.9 0.9 (a) Calculate P2 = P · P. (b) Calculate P4 = P2 · P2. (c) Calculate P8. (d) Without computing it explicitly, find P1,000.
Consider the following matrix. P = 0.1 0.1 0.9 0.9 (a) Calculate P2 = P · P. (b) Calculate P4 = P2 · P2. (c) Calculate P8. (d) Without computing it explicitly, find P1,000.
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
Question
Consider the following matrix.
P =
|
0.1 | 0.1 |
|
||
0.9 | 0.9 |
(a)
Calculate P2 = P · P.
(b)
Calculate P4 = P2 · P2.
(c)
Calculate P8.
(d)
Without computing it explicitly, find
P1,000.
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