Let C = The determinant of the matrix C is which is Choose . Therefore, the matrix X(t) is Choose help (matrices) X(t) = Verify that the matrix X(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix X(t) can be represented as Â(t) = X(t)C. (numbers) 7-6 2²- -2 X(t) = e-2t -3e 4e-2t -12e-2t
Let C = The determinant of the matrix C is which is Choose . Therefore, the matrix X(t) is Choose help (matrices) X(t) = Verify that the matrix X(t) is a fundamental matrix of the given linear system. Determine a constant matrix C such that the given matrix X(t) can be represented as Â(t) = X(t)C. (numbers) 7-6 2²- -2 X(t) = e-2t -3e 4e-2t -12e-2t
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
5. Ordinary
![Let
Verify that the matrix X(t) is a fundamental matrix of the given linear system.
Determine a constant matrix C such that the given matrix Â(t)
-1
The determinant of the matrix C is
414
which is Choose Therefore, the matrix X(t) is Choose
can be represented as X(t) = X(t)C.
help (matrices)
help (numbers)
1
64
x,
e-2t
x (t) = [et
· [6__3²2], X(1) =
-2t
0 -3e
4e-2t
-12e-2t
8]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d6d6ec3-8d2a-4662-b20e-640089acaa34%2Fe1434817-6594-429c-9ab5-fe9e7ebafecb%2F9vw29cl_processed.png&w=3840&q=75)
Transcribed Image Text:Let
Verify that the matrix X(t) is a fundamental matrix of the given linear system.
Determine a constant matrix C such that the given matrix Â(t)
-1
The determinant of the matrix C is
414
which is Choose Therefore, the matrix X(t) is Choose
can be represented as X(t) = X(t)C.
help (matrices)
help (numbers)
1
64
x,
e-2t
x (t) = [et
· [6__3²2], X(1) =
-2t
0 -3e
4e-2t
-12e-2t
8]
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