Question: Please write or type clearly font, thank you! Problem 1. Consider the matrix 3 0 0 A = -3 4 9 0 0 3 Find

Please write or type clearly font, thank you!

Problem 1. Consider the matrix 3 0 0 A = -3 4 9 0 0 3 Find the eigenvalues, determine their algebraic and geometric multiplicity, and find the corresponding eigenvectors. Then, determine if A is diagonalizable. Problem 2. Consider the matrix 3 - 1 A = 1 1 1 1 -1 3 Find the eigenvalues, determine their algebraic and geometric multiplicity, and find the corresponding eigenvectors. Then, determine if A is diagonalizable.Problem 4. Consider the matrix 3 1 A = 1 4 HOO O 0 First, explain why A is diagonalizable without computing the eigenvalues. Next, find the eigenvalues and eigenvectors of A

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