How do I determine what the original matrix was that yielded these two eigenvalues with the corresponding eigenvectors:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\lambda_1 = -3[/tex] Eigenvector: [0,1]

[tex]\lambda_2 = 2[/tex] Eigenvector: [1,0]

I've played around with det(A-lambda I) but can't find the matrix! I even just did some trial and error matrices in Maple trying to figure it out. If anyone can find me the matrix I'd be very impressed.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Eigenvalues and vectors - finding original matrix

**Physics Forums | Science Articles, Homework Help, Discussion**