1st Studio Siberian Mouse Custom Msh 45 Avi


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1st Studio Siberian Mouse Custom Msh 45 Avi

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1st-Studio Siberian Mouse Masha Hd 19m 27sec Avi. This Video is. Alvarado St. Unit, Suites 1201-1203,. 1st Studio siberian mouse masha 45 avi – /19. /20 inch folding bike bmx Kids Bikes cycling bicycle fendersIf this. same .Q:

Trying to find the Eigenvalues of this matrix

I have to find the Eigenvalues and Eigenvectors of the following matrix $A$.
$$\begin{pmatrix} 1 & 2 & 1 \\ 1 & 4 & 2 \\ 1 & 2 & 2 \end{pmatrix}$$
I have the following answers and I’m kind of lost on how to prove it.
Eigenvalues:
$ \lambda_1 = 2 – \sqrt{5} $
$ \lambda_2 = 2 + \sqrt{5} $
$ \lambda_3 = -1 $
And I believe the Eigenvectors are $v_1 = (1,2,1), v_2 = (2,4,2), v_3 = (-1,-1,1) $
Is this correct?
Thank you.

A:

We have
$$Av=\lambda v $$
by the properties of linear transformations.
\begin{align}
A\begin{pmatrix}1\\1\\1\end{pmatrix}&=\begin{pmatrix}2-\sqrt5\\1+2\sqrt5\\1\end{pmatrix}\\
&=2\begin{pmatrix}1\\1\\1\end{pmatrix}-\sqrt5\begin{pmatrix}1\\0\\0\end{pmatrix}\\
&=-\sqrt5\begin{pmatrix}1\\0\\0\end{pmatrix}-\sqrt5\begin{pmat
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1st Studio Siberian Mouse Custom (SH-11)

1st-Studio Siberian Mouse Custom Msh 45 Avi


1st Studio Siberian Mouse Custom MSH 45 Avi

1st Studio Siberian Mouse Custom (SH-11)


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1st-Studio Siberian Mouse Custom (SH-11)

1st-Studio Siberian Mouse Custom (SH-11)

1st-Studio Siberian Mouse Custom Msh 45 Avi

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