Questions askedCategory: 2568MATH 2568 Practice Problem Question 9
Advanced360x asked 5 months ago

Hello Dr. Tsumura,
I would like to ask whether the third eigenvector is [2; -1; 0] or [1; -1; 1]?
Hope to hear back from you soon. Thank you.
Regards,
Anthony.


1 Answers
Yu Staff answered 5 months ago

I am not sure what you mean by “the third eigenvector” but neither
\[\begin{bmatrix}
2 \\
-1 \\
0
\end{bmatrix} \text{ nor } \begin{bmatrix}
1 \\
-1 \\
1
\end{bmatrix}\] is an eigenvector of the matrix $A$.

Hint: consider the difference of the second and the third equalities.


Advanced360x replied 5 months ago

Thank you, Dr. Tsumura for replying and the hint.