Diagonalize the matrices (等二) 11 2. 15 3 and -4 (The eigenvalues of the second matrix ar Calculate lim A" where A is the first matrix.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(1) (a) Diagonalize the matrices
($) ()
2
-1
11
3
15
and
1
3
-1
-4
-1
-2
2
(The eigenvalues of the second matrix are 1 = 1, 5.)
(b) Calculate
lim A",
where A is the first matrix.
Transcribed Image Text:(1) (a) Diagonalize the matrices ($) () 2 -1 11 3 15 and 1 3 -1 -4 -1 -2 2 (The eigenvalues of the second matrix are 1 = 1, 5.) (b) Calculate lim A", where A is the first matrix.
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