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Weirddobby3964
14.01.2020 •
Mathematics
Find the eigenvectors and eigenvalues for the matrix.
a =
[3 1
1 3]
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Ответ:
Eigenvalues : 4 and 2
Eigenvectors : <1,1> and <-1,1>.
Step-by-step explanation:
The given matrix is
We need to find the eigenvectors and eigenvalues for the matrix.
λ represents the eigen values.
For![\lambda=4](/tpl/images/0455/0247/4a636.png)
Eigenvector![=\begin{bmatrix}y\\ y\end{bmatrix}\space\space\:y\ne \:0](/tpl/images/0455/0247/92e8b.png)
Eigenvector![=\begin{bmatrix}1\\ 1\end{bmatrix}](/tpl/images/0455/0247/f240b.png)
Similarly,
For![\lambda=2](/tpl/images/0455/0247/7bdec.png)
Eigenvector![=\begin{bmatrix}-y\\ y\end{bmatrix}\space\space\:y\ne \:0](/tpl/images/0455/0247/794d6.png)
Eigenvector![=\begin{bmatrix}-1\\ 1\end{bmatrix}](/tpl/images/0455/0247/cffd0.png)
Ответ:
answer:
-2(x+1)=8=x=-5=