You may use a calculator to perform basic calculations on these problems: (just label when using calculator)Row reductionMatrix multiplicationMatrix inversesFinding eigenvalues and eigenvectors 4. Use A=2(3²-1-2for the following questions.(a) Find a fundamental matrix for the system of equations a' = Ax.(b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies Þ(0) = I.- (²)(c) Use Þ(t) to find the solution which has initial value x(0)=

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4. Use A = (3-2) for the following questions. (a) Find a fundamental matrix for the system of equations x' = Ax. (b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies (0) = I. (²) (c) Use (t) to find the solution which has initial value x(0) =

4. Use A = (3-2) for the following questions. (a) Find a fundamental matrix for the system of equations x' = Ax. (b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies (0) = I. (²) (c) Use (t) to find the solution which has initial value x(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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A: topic - matrices

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You may use a calculator to perform basic calculations on these problems: (just label when using calculator)

Row reduction

Matrix multiplication

Matrix inverses

Finding eigenvalues and eigenvectors

4. Use A
=
2
(3²
-1
-2
for the following questions.
(a) Find a fundamental matrix for the system of equations a' = Ax.
(b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies Þ(0) = I.
- (²)
(c) Use Þ(t) to find the solution which has initial value x(0)
=

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