Eigenvalues and Eigenvectors

         

Find the eigenvalues of the matrix A=(8006611101). A = \begin{pmatrix} 8 & 0 & 0 \\6 & 6 & 11 \\ 1 & 0 & 1 \end{pmatrix}.

What is the sum of eigenvalues of the transformation matrix A=(8228)? A = \begin{pmatrix} 8 & 2 \\ 2 & 8 \end{pmatrix}?

Given the transformation matrix A=(5445), A = \begin{pmatrix} 5 & 4 \\ 4 & 5 \end{pmatrix}, which of the following are the eigenvectors of A? A?

Which of the following are the eigenvectors of the transformation matrix A=(8415)? A = \begin{pmatrix} 8 & 4 \\ 1 & 5 \end{pmatrix}?

Which of the following can't be an eigenvector of the transformation matrix A=(800350323)? A = \begin{pmatrix} 8 & 0 & 0 \\ 3 & 5 & 0 \\ 3 & 2 & 3 \end{pmatrix}?

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