Hey everyone, I have found eigenvalues to be -1,2 and 3. Working out the eigenvectors is problematic for me...
My final form is:
\(A=\left{ \begin{array}{lml}
-1 & \, & 2\, & 0\\
2 & \, & -1\, & 0\\
0 & \, & 0\, & 0\\
\end{array} \right\}
\)
(multiplied by vector (x,y,z))
okay so my equations are (from the matrix above):
\(-x+2y = 0\)
\(2x-y=0\)
Now I could show you all my failed attempts here but I will just post the solution. Please let me know what to do...basically I always mess up on the last part and don't understand what to do after!
Solution is attached. If someone could explain how I get the solution for when
λ = -1 and then I will post my solution for the other two eigenvalues!
Thanks!
My final form is:
\(A=\left{ \begin{array}{lml}
-1 & \, & 2\, & 0\\
2 & \, & -1\, & 0\\
0 & \, & 0\, & 0\\
\end{array} \right\}
\)
(multiplied by vector (x,y,z))
okay so my equations are (from the matrix above):
\(-x+2y = 0\)
\(2x-y=0\)
Now I could show you all my failed attempts here but I will just post the solution. Please let me know what to do...basically I always mess up on the last part and don't understand what to do after!
Solution is attached. If someone could explain how I get the solution for when
λ = -1 and then I will post my solution for the other two eigenvalues!
Thanks!
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