I Free Vibrations of a linear triatomic molecule

[Ben Geoffrey]

This question is regarding equation 6.59 in Classical Mechanics Goldstein 3rd edition. I don't understand how he reaches that step. He says he does by inverting 6.41. Is he taking the transpose matrix composed of the eigen vectors by meaning inversion ?

I thought I could upload the screenshot of the page of the book but the option is not provided. So please look up the textbook if you could to help me out. Thank you. Sorry for the inconvenience

 

[davenn]

I thought I could upload the screenshot of the page of the book but the option is not provided.

of course you can upload a screenshot, use the upload button and upload the image file ... gif or jpg preferredDave

 

[berkeman]

I thought I could upload the screenshot of the page of the book but the option is not provided. So please look up the textbook if you could to help me out. Thank you. Sorry for the inconvenience

You may not be able to upload if you are using the mobile PF App. Try a laptop or tablet running a Browser -- that should work for you.

 

[Nguyen Son]

Ok I will help you with these pictures, but can you show your work?

 

[Ben Geoffrey]

Okay Thanks for the guidance. So The results he gets are in the picture names 'Physics forums' and he says he gets them by inverting this equation show in the picture 'Physics forum 1'. I inverted the a_ij matrix to a_ji since it is an orthogonal matrix. But I am not getting the same answers. Can anyone help ?

 

[DrClaude]

What do you get for the original matrix A?

 

[Ben Geoffrey]

This is the original matrix. So I just transpose it and the rows become columns and columns become rows.