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prove a symmetric matrix is diagonalizable without doing any calculations of eigenvalues or eigenvectors.

I know its orthogonally diagonalizable but is that the same as diagonalizable?

  • What does orthogonally diagonalizable mean? What does diagonalizable mean? I think if you write out these definitions, you will immediately see that orthogonally diagonalizable implies diagonalizable. – Viktor Vaughn Dec 10 '17 at 05:18
  • Okay, i thought so because orthogonally diagonalizable is just a special case of diagonalizable – chubs805 Dec 10 '17 at 05:25

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