Q - Linear Algebra II TT23 Collection, Q2
Flashcards
What are the eigenvalues of
\[\begin{pmatrix}
1 & 1 & \cdots & 1 \\\\
1 & 1 & \cdots & 1 \\\\
\vdots & \vdots & \ddots & \vdots \\\\
1 & 1 & \cdots & 1
\end{pmatrix} \in \mathbb R^{n \times n}\]
?
\[\\{0, 0, \ldots, 0, n\\}\]
where $0$ is repeated $n-1$ times.
Suppose $A$ is a matrix with eigenvalues given by $\lambda _ i$. Then what are the eigenvalues of the matrix $A - cI$ where $c$ is a constant?::
\[\lambda_i - c\]Quick! What are the eigenvalues of
\[\begin{pmatrix}
1 & 2 & 2 \\\\
2 & 1 & 2 \\\\
2 & 2 & 1
\end{pmatrix}\]
?
\[{-1, -1, 5}\]