## Related questions with answers

Question

Construct the general solution of x'=Ax involving complex eigenfunctions and then obtain the general real solution. Describe the shapes of typical trajectories.

$A=\left[ \begin{array}{rrr}{53} & {-30} & {-2} \\ {90} & {-52} & {-3} \\ {20} & {-10} & {2}\end{array}\right]$

Solutions

VerifiedSolution A

Solution B

Answered 9 months ago

Step 1

1 of 4Answered 9 months ago

Step 1

1 of 6We are given a **dynamical system** $\mathbf{x}'=A\mathbf{x}$, where

$A=\begin{bmatrix}53&-30&-2\\90&-52&-3\\20&-10&\phantom{-}2\end{bmatrix}.$

We want to find the general real solution to this system.

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Linear Algebra with Applications

5th Edition•ISBN: 9780321796974 (4 more)Otto Bretscher2,516 solutions

#### Linear Algebra and Its Applications

5th Edition•ISBN: 9780321982384David C. Lay, Judi J. McDonald, Steven R. Lay2,070 solutions

## More related questions

- prealgebra

1/3

- prealgebra

1/6