Weekly Math Problem #71

Eigenvectors. This week's problem is related to last week's problem, WMP #70. Check it out, if you haven't. Last week we found the eigenvalues for the matrix. This week, we're gonna find the eigenvectors associated with the eigenvalues. Feel free to refer to WMP #45 to help you with the process. 😁 

To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     Substitution        
        ✔️     How to perform row operations
             

WMP! #71 says...

Happy solving!

Check back on Saturday, January 29th for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

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Here's what I did to find the eigenvectors for each eigenvalue: 

And there you have it! The eigenvectors are not the same. In fact, they are linearly independent. 

▪️ Did you find the eigenvectors?
▪️ Have you ever done matrix algebra before?

▪️ Let me know what you thought about this week's problem in the comments section. 

Thank you for solving with me this week. 😊
Up next...WMP! #72. 

Cheers!

The Younge Lady