Question: 3. Montrer que la matrice A 2 -1 0 -1 0 2 0 0 3 est diagonalisable en trouvant une matrice orthogonale Q et

3. Montrer que la matrice A 2 -1 0 -1 0 2

3. Montrer que la matrice A 2 -1 0 -1 0 2 0 0 3 est diagonalisable en trouvant une matrice orthogonale Q et une matrice diagonale D telles que QAQ = D. -1 Vrifier explicitement par des calculs que Q-AQ = D. (Vous devez calculer Q-AQ)

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