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Given the matrix:
[tex]\left( \begin{array}{cc}
1 & 2 \\
2 & 4 \end{array} \right) [/tex]
I'll find eigenspace for the eigenvalue of t=0, So I have to solve:
[tex]\left( \begin{array}{cc}
1 & 2 \\
2 & 4 \end{array} \right) {(x,y)}^t=0[/tex]
Then I do [tex]R_2->R_2-2R_1[/tex] and get x+2y=0 => x=-2y => get the eigenvector (-1,2).
But wolframalpha tells me the eigenvector for this eigenvalue should be (1,2).
Where is my sin?
[tex]\left( \begin{array}{cc}
1 & 2 \\
2 & 4 \end{array} \right) [/tex]
I'll find eigenspace for the eigenvalue of t=0, So I have to solve:
[tex]\left( \begin{array}{cc}
1 & 2 \\
2 & 4 \end{array} \right) {(x,y)}^t=0[/tex]
Then I do [tex]R_2->R_2-2R_1[/tex] and get x+2y=0 => x=-2y => get the eigenvector (-1,2).
But wolframalpha tells me the eigenvector for this eigenvalue should be (1,2).
Where is my sin?
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