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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
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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5. Ordinary Differential Equations

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]
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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