Show that A satisfying A P-¹BP. P-1 -4 2 0-21 0-2 and B (-4(2sqr (-2i(2sqr (-2i(sqrt( 2i(4sqrt( i(4sqrt(4 2i(sqrt(4 2i(8sqrt( i(8sqrt(4 4i(sqrt(4 -2-1-37 -4-2-6 are similar matrices by finding an invertible matrix P 2 , P = 3 (-1+sqrt( -1/4+(isc -11-(3isc 21/4-3is -5 5+sqrt(4 -11/4+is 3

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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Show that A=
satisfying A = P-¹BP.
(-4i(2sqr
2i(4sqrt(
2i(8sqrt(
P-1
0-4
0-21
0
and B
(-2i(2sqr (-2i(sqrt(
i(4sqrt(4
(8sqrt(4
-2-1-3
-4-2-6 are similar matrices by finding an invertible matrix P
4i(sqrt(4
2
2i(sqrt(4 ,P=
3
(-1+sqrt( -11-(3isc 5+sqrt(4
-1/4+(isc
21/4-3is
-5
-11/4+ist
Transcribed Image Text:Show that A= satisfying A = P-¹BP. (-4i(2sqr 2i(4sqrt( 2i(8sqrt( P-1 0-4 0-21 0 and B (-2i(2sqr (-2i(sqrt( i(4sqrt(4 (8sqrt(4 -2-1-3 -4-2-6 are similar matrices by finding an invertible matrix P 4i(sqrt(4 2 2i(sqrt(4 ,P= 3 (-1+sqrt( -11-(3isc 5+sqrt(4 -1/4+(isc 21/4-3is -5 -11/4+ist
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