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The '''characteristic polynomial''' of a [[matrix]] <math>A</math> is given by,
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The '''characteristic polynomial''' of a square [[matrix]] <math>A</math> is given by,
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:<math>|A-\lambda I|=0</math>
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:<math>f(\lambda) = \det(A-\lambda I)</math>
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where <math>I</math> is the [[identity matrix]].
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where <math>I</math> is the [[identity matrix]]. The zeros of this polynomial are the eigenvalues of the matrix.
    
[[Category:Linear algebra]]
 
[[Category:Linear algebra]]
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