The general solution for x'=( 3 5 1 -1 )x is:.
Added by Stephen S.
Step 1
To do this, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix and λ is the eigenvalue: |3-λ 5| = (3-λ)(-1-λ) - 5 = λ^2 - 2λ - 8 = 0 |1 -1-λ| This equation factors as (λ-4)(λ+2) = 0, so the eigenvalues are λ1 = 4 and λ2 = -2. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Kate Smiley and 87 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve. $$\frac{x+1}{5}-\frac{3}{x-1}=2$$
Quadratic Equations
Solving Quadratic Equations by Using the Quadratic Formula
$$\text { Solve: } 3 x-5=-x+1$$
Analytic Trigonometry
Trigonometric Equations
Solve the equation. $$ \frac{1-x}{3 x-1}=-\frac{3}{5} $$
More Nonlinear Functions and Equations
Rational Functions and Models
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD