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Esercizio 2. Let's consider the following matrix: 2 A= 2 (a) Find a basis of the kernel of A. (b) Find the characteristic polynomial

Esercizio 2. Let's consider the following matrix: 2 A= 2 (a) Find a basis of the kernel of A. (b) Find the characteristic polynomial and eigenvalues of A. (c) Find the eigenspaces of A and their basis. Is A diagonalizable? (d) Does it exist a symmetric matrix similar to A? (you have to justify your ans

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