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The '''spectral theorem''' states that a [[symmetric matrix]] is orthogonally diagonalizable, and vice-versa.  This is the one the most fundamental theorems in [[linear algebra]], and is frequently used to solve problems.
 
The '''spectral theorem''' states that a [[symmetric matrix]] is orthogonally diagonalizable, and vice-versa.  This is the one the most fundamental theorems in [[linear algebra]], and is frequently used to solve problems.
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[[Category:Linear algebra]]
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[[Category:Linear Algebra]]
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