Question: 52 -4 A = 25 -4 4 4 -5 Is A diagonalizable? Why or why not? a. A is diagonalizable because a A()) = YA())

52 -4 A = 25 -4 4 4 -5 Is A diagonalizable? Why or why not? a. A is diagonalizable because a A()) = YA()) for all eigenvalues of A O b. A is diagonalizable because it is a square matrix O c. A is not diagonalizable because a A(A) # YA()) for all eigenvalues of A O d. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! O e. A is not diagonalizable because it does not have 3 distinct eigenvalues Of. A is not diagonalizable because it is not a diagonal matrix
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