Symmetric Matrix is Diagonalizable
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Theorem
A symmetric matrix is diagonalizable.
That is, it may be reduced to a diagonal matrix by similarity transformations.
Proof
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Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): canonical form (normal form)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): canonical form (normal form)