Questions: Attempt 1:10 attempts remaining. Find the eigenvalues λ₁<λ₂ and associated unit eigenvectors u₁, u₂ of the symmetric matrix A=[ −7 −16 −16 17 ] The smaller eigenvalue λ₁= has associated unit eigenvector u₁=[ ]. The larger eigenvalue λ₂= has associated unit eigenvector u₂=[ ]. Note: The eigenvectors above form an orthonormal eigenbasis for the column space of A.
![Attempt 1:10 attempts remaining.
Find the eigenvalues λ₁<λ₂ and associated unit eigenvectors u₁, u₂ of the symmetric matrix
A=[
−7 −16
−16 17
]
The smaller eigenvalue λ₁= has associated unit eigenvector u₁=[
].
The larger eigenvalue λ₂= has associated unit eigenvector u₂=[
].
Note: The eigenvectors above form an orthonormal eigenbasis for the column space of A.](https://thumbnail.justsolvely.com/seoQuestionThumb/acfd70c3-4ba4-4f78-b050-977d6e77df3f.webp)
Transcript text: Attempt 1:10 attempts remaining.
Find the eigenvalues $\lambda_{1}<\lambda_{2}$ and associated unit eigenvectors $\vec{u}_{1}, \vec{u}_{2}$ of the symmetric matrix
\[
A=\left[\begin{array}{cc}
-7 & -16 \\
-16 & 17
\end{array}\right]
\]
The smaller eigenvalue $\lambda_{1}=$ $\square$ has associated unit eigenvector $\vec{u}_{1}=\left[\begin{array}{r}\square \\ \square \\ \square\end{array}\right]$.
The larger eigenvalue $\lambda_{2}=$ $\square$ has associated unit eigenvector $\vec{u}_{2}=$ $\left[\begin{array}{l}i_{+} \\ \vdots\end{array}\right]$.
Note: The eigenvectors above form an orthonormal eigenbasis for the column space of $A$.
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