Question: Please help me find the solution to these practices problems. Please show work and number the questions. 252 663 1: Consider the matrix A =

Please help me find the solution to these practices problems. Please show work and number the questions.

252 663 1: Consider the matrix A = 1 2 2]- I: Find all of the eigenvalues of A. ll: Find the corresponding eigenvectors to each eigenvalue of A. I\": Find each eigenspace of A corresponding to each eigenvalue. IV: State an eigenbasis for each eigenspace of A. V: State the algebraic multiplicity and geometric multiplicity of each eigenvalue of A

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