sin(t) et, X2 sin(t)- cos (t) and X3 D sin(t) + cos (t)] 0. Given that X, cos(t) sin(t) + cos (t)| are solution of X'= A(t)X. Show that the vectors sin(t)- cos (t)] are linearly independents on (0.).
sin(t) et, X2 sin(t)- cos (t) and X3 D sin(t) + cos (t)] 0. Given that X, cos(t) sin(t) + cos (t)| are solution of X'= A(t)X. Show that the vectors sin(t)- cos (t)] are linearly independents on (0.).
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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Plz solve this math question
ASAP
![sin(t)
0.
Given that X,
X2
sin(t) - cos (t) and X3 =
sin(t) + cos (t)]
cos(t)
sin(t) + cos (t)| are solution of X' A(t)X. Show that the vectors
sin(t)- cos (t)]
are linearly independents on
(0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd944a7a5-2ae4-45d0-9e06-42347df8ac9e%2F8807fe9b-66ae-4de8-a847-ff399956a549%2Fpzf3qma_processed.jpeg&w=3840&q=75)
Transcribed Image Text:sin(t)
0.
Given that X,
X2
sin(t) - cos (t) and X3 =
sin(t) + cos (t)]
cos(t)
sin(t) + cos (t)| are solution of X' A(t)X. Show that the vectors
sin(t)- cos (t)]
are linearly independents on
(0)
Expert Solution
Step 1
The problem is wrong, three vectors are not linearly independent.
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