1 N 2. (14 marks) Let A = 0 2 1 . Peppa and George are trying to determine if A is diagonalizable. 0 Peppa says: The reduced row echelon form of A is rref (A) = 0 0 , which is a diagonal matrix. 0 Therefore, we can multiply A by elementary matrices to obtain a diagonal matrix, and therefore A is diagonalizable! George says: That's a good argument, Peppa! However, that's more work than we need to do. Since det(A) + 0, we immediately know that A is diagonalizable! a) (7 marks) Explain to Peppa and George, using complete English sentences, where their reasoning is correct /incorrect. b) (7 marks) Determine if the matrix A is diagonalizable. You must show your work and justify your