Ordinary differential equations involving matrices

ricky786 · May 20, 2010

hi i got the eigen values as e=-1, e=i, -i as the imaginary roots and both 1 multiplicities can some one complete the question please

thanks

tiny-tim · May 20, 2010

Welcome to PF!

Hi ricky786! Welcome to PF!

ricky786 said:

hi i got the eigen values as e=-1, e=i, -i as the imaginary roots and both 1 multiplicities can some one complete the question please

thanks

Hint: If the eigenvalues are -1 and ±i, then there's a basis in which x' = -x, y' = iy, z' = -iz …

now solve.

Ordinary differential equations involving matrices

Attachments

Undergrad Why ##a^0=1##?

Undergrad Finding the minimum distance between two curves

Undergrad Mixed approximation vs. full approximation for a power series expansion

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

High School Arc Length for Hyperbolic Sin

Undergrad Correct Upper/Lower limits for continuation of solutions for ODE

Graduate About ellipticity and a proof that a system of PDEs is elliptic

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Ordinary differential equations involving matrices

Attachments

Similar threads